Prime p₀= 1257953120037415169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1257951792067924451	0 2 36 38 78 80 120 122 156 158	-1327969490718
STPT(10)	1257952377611497619	0 2 18 20 60 62 102 104 120 122	-742425917550
SPT(16)	1257952558979043043	0 36 64 88 124 130 168 186 208 226 264 270 306 330 358 394	-561058372126
SPT(16)	1257952594086533977	0 34 42 120 150 162 172 196 210 234 244 256 286 364 372 406	-525950881192
SPT(16)	1257952626633469747	0 22 136 154 204 252 256 264 472 480 484 532 582 600 714 736	-493403945422
STPT(10)	1257952842602097581	0 2 30 32 60 62 90 92 120 122	-277435317588
STPT(10)	1257953239814100449	0 2 42 44 90 92 138 140 180 182	119776685280
STPT(10)	1257953410613568659	0 2 48 50 90 92 132 134 180 182	290576153490
SPT(16)	1257953457620759021	0 20 80 156 170 180 182 206 306 330 332 342 356 432 492 512	337583343852
SPT(16)	1257953544568173067	0 10 46 52 60 90 124 186 250 312 346 376 384 390 426 436	424530757898
SPT(16)	1257953628331254511	0 40 42 46 70 88 126 130 138 142 180 198 222 226 228 268	508293839342