Hi Ethan,
I agree with you this is strange, as if two strongly different types of ostiolar necks were occurring on a same stroma. The height of ostiolar necks is highly dependent on moisture conditions and thus much less informative than their width but here you may have something else.
I would like to examine a sample, is it possible?
thanks,
Jacques

Thank you for your response as always, Jacques!  I will send you a sample this afternoon. 
Ethan

Hi Ethan,
thanks for having shared with me this distinctive and weird fungus.
First the substrate is definitely Quercus, based on wood and bark anatomy.
As you said it is an Eutypa, though the dense cracking of the stroma, isolating small groups of perithecia is rather misleading by evoking a Diatrype.
Based on ostiolar morphology, ascospore dimensions and strong reaction of apical ring to iodine, it keys out to E. limaeformis (Schwein.) Cooke in Rappaz' key, a species known from North America on Fagaceae.
The sharply conical superficial structures you illustrated do not seem to be ostioles since they have no connection with underlying perithecia, as seen in vertical section. As they are restricted to parts of the stroma where perithecia are aborted, I think they result from an abnormal developmment of the stroma and should be regarded as of curiosity value only.
I did not know this fungus and I think I won't forget it!
Thanks,
Jacques

Thank you for examining my collection, Jacques!  I have been comparing with the description in Rappaz (using Google translate, which is not the best, alas).  I was wondering if you pretreated with 3% KOH before applying iodine to see the strong reaction of the apical ring.  In my pictures it certainly looks like there is a reaction, but I'm not sure if I'd call it strong.  In fact, at first I wasn't certain if the color with IKI was due to the effect you described recently in response to my post of the Torrentispora-like asco.... a greenish reaction due to the illumination of my microscope.

Again, thank you for your help!

I should have said "relatively" strong, because in Diatrypaceae this reaction is most often weak and inconspicuous. I obtained this positive reaction directly with Melzer, without pretreatment in KOH, which is unusual and fairly distinctive for this species.
Nice story anyway!
Jacques