Prime p₀= 2955294269234115761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 100 2 100 2 34 2 (?)
a_n: 0 2 36 38 138 140 240 242 276 278
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: 278
Found by: Ben
db: batch=82, k=10, 2 34 2 100 2

SPT(16)	2955293097982564943	0 18 36 38 44 48 60 80 84 104 116 120 126 128 146 164	-1171251550818
SPT(16)	2955293237406509303	0 20 44 90 110 140 146 156 188 198 204 234 254 300 324 344	-1031827606458
SPT(16)	2955293309609074253	0 56 140 176 204 210 264 270 320 326 380 386 414 450 534 590	-959625041508
SPT(16)	2955293364410430727	0 10 60 76 82 90 126 132 214 220 256 264 270 286 336 346	-904823685034
STPT(10)	2955293473908266471	0 2 30 32 78 80 126 128 156 158	-795325849290
SPT(16)	2955293902028621479	0 22 40 42 78 82 88 120 172 204 210 214 250 252 270 292	-367205494282
SPT(16)	2955294440955869447	0 2 32 56 114 134 162 200 336 374 402 422 480 504 534 536	171721753686
SPT(18)	2955294653692648571	0 2 20 56 62 78 80 132 140 198 206 258 260 276 282 318 336 338	384458532810
STPT(10)	2955294711025078319	0 2 18 20 30 32 42 44 60 62	441790962558
SPT(16)	2955294799770590437	0 42 96 124 132 136 142 172 264 294 300 304 312 340 394 436	530536474676
SPT(16)	2955294929407322681	0 2 32 116 132 138 152 158 210 216 230 236 252 336 366 368	660173206920