Prime p₀= 1091613935036680337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: mikey
db: batch=76, k=10, 2 58 2 40 2

SPT(16)	1091611625905287611	0 26 62 78 80 126 180 230 378 428 482 528 530 546 582 608	-2309131392726
STPT(10)	1091611649340975179	0 2 18 20 30 32 42 44 60 62	-2285695705158
SPT(16)	1091611906766750717	0 32 60 66 96 110 122 126 200 204 216 230 260 266 294 326	-2028269929620
SPT(16)	1091612365204257821	0 8 38 56 60 78 138 150 236 248 308 326 330 348 378 386	-1569832422516
SPT(16)	1091612420644492177	0 4 36 82 84 100 114 142 144 172 186 202 204 250 282 286	-1514392188160
SPT(16)	1091613039407780707	0 4 12 42 54 72 90 114 142 166 184 202 214 244 252 256	-895628899630
SPT(16)	1091614007740356323	0 20 38 44 68 80 84 90 104 110 114 126 150 156 174 194	72703675986
STPT(10)	1091614226220217727	0 2 24 26 42 44 60 62 84 86	291183537390
SPT(16)	1091614327092220187	0 6 26 42 62 72 86 92 174 180 194 204 224 240 260 266	392055539850
SPT(16)	1091614701299588027	0 14 80 90 92 150 200 206 210 216 266 324 326 336 402 416	766262907690
SPT(16)	1091614734140121241	0 136 186 246 252 310 316 330 382 396 402 460 466 526 576 712	799103440904