From day to day I anticipated another result where q and r would both be prime, but to no avail. These are some of the most frustratingly near misses:

Code:

q phi k p CSG k*q/phi/log²p'
792886 396442 204 445124227 1.012127792 0.997549475 (q/2 & p mod q/2 prime, simple CSG criteria not met)
994102 497050 255 2001318337 1.10553142 1.09958173 (q/2 prime, p mod q/2 = 191011 = 251 × 761)
1933454 966726 219 686778133 1.031408014 1.009688338 (q/2 prime, p mod q/2 = 401963 = 541 × 743)
1889254 942480 228 954854339 1.048783531 1.031510191 (p mod q/2 prime, q/2 = 944627 = 617 × 1531)
780814 390406 204 201321937 1.079546597 1.050952883 (p mod q prime, p mod q/2 not (1 of 4 examples))

Over one thousand candidates with CSG>1 (sum Ri'-method) - it's not a question of if, it's a question of when. The search continues.

Anywho, I've attached the data for p'<2

^{42}. It seems I was even more lucky than I originally thought with that gap at q=152. It gets increasingly hard to find gaps even with CSG>0.9.