Prime p₀= 1131568349998347587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 40 2 28 2

STPT(10)	1131566811156501491	0 2 30 32 78 80 126 128 156 158	-1538841846096
STPT(10)	1131566874422314571	0 2 48 50 168 170 288 290 336 338	-1475576033016
STPT(10)	1131567102713705951	0 2 126 128 138 140 150 152 276 278	-1247284641636
SPT(16)	1131567246804130049	0 2 90 104 110 114 132 134 138 140 158 162 168 182 270 272	-1103194217538
STPT(10)	1131567847118256599	0 2 42 44 60 62 78 80 120 122	-502880090988
STPT(10)	1131568204265719271	0 2 6 8 18 20 30 32 36 38	-145732628316
SPT(16)	1131568598527983211	0 12 16 22 60 102 136 142 150 156 190 232 270 276 280 292	248529635624
SPT(16)	1131568614301990001	0 8 20 60 78 120 128 158 312 342 350 392 410 450 462 470	264303642414
STPT(10)	1131568789413843887	0 2 30 32 162 164 294 296 324 326	439415496300
SPT(16)	1131569065053319423	0 6 40 46 66 114 130 186 208 264 280 328 348 354 388 394	715054971836
STPT(12)	1131569084240405507	0 2 30 32 54 56 90 92 114 116 144 146	734242057920