Prime p₀= 1091409839737357937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: gemini8
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1091408930176205867	0 2 30 32 72 74 114 116 144 146	-909561152070
STPT(10)	1091409336899624789	0 2 12 14 90 92 168 170 180 182	-502837733148
STPT(10)	1091409483107293697	0 2 12 14 42 44 72 74 84 86	-356630064240
SPT(16)	1091409579492943853	0 6 50 84 150 174 200 216 218 234 260 284 350 384 428 434	-260244414084
SPT(20)	1091409713519486401	0 22 36 60 82 88 112 150 178 222 286 330 358 396 420 426 448 472 486 508	-126217871536
SPT(16)	1091409774919540213	0 36 46 60 70 126 144 190 264 310 328 384 394 408 418 454	-64817817724
SPT(16)	1091409903520256087	0 150 182 204 210 224 236 264 302 330 342 356 362 384 416 566	63782898150
STPT(10)	1091410304851918061	0 2 6 8 48 50 90 92 96 98	465114560124
SPT(16)	1091410808288363417	0 2 32 54 86 110 116 134 162 180 186 210 242 264 294 296	968551005480
SPT(16)	1091411105070943619	0 2 14 62 92 114 132 140 204 212 230 252 282 330 342 344	1265333585682
SPT(16)	1091411188516411613	0 36 54 68 78 90 156 210 224 278 344 356 366 380 398 434	1348779053676