Prime p₀= 2782911767206777901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: gemini8
db: batch=82, k=10, 2 34 2 40 2

SPT(18)	2782910644725601031	0 26 32 66 98 122 140 152 200 228 276 288 306 330 362 396 402 428	-1122481176870
STPT(10)	2782911052225684031	0 2 36 38 78 80 120 122 156 158	-714981093870
SPT(16)	2782911152732154539	0 14 18 60 62 78 110 134 228 252 284 300 302 344 348 362	-614474623362
SPT(16)	2782911160708828207	0 6 42 76 84 90 114 130 216 232 256 262 270 304 340 346	-606497949694
SPT(16)	2782911311527612241	0 26 48 60 86 116 132 182 186 236 252 282 308 320 342 368	-455679165660
SPT(16)	2782911376322912203	0 18 28 36 48 106 120 196 210 286 300 358 370 378 388 406	-390883865698
STPT(10)	2782912273275364211	0 2 36 38 78 80 120 122 156 158	506068586310
STPT(10)	2782912322620505861	0 2 30 32 60 62 90 92 120 122	555413727960
STPT(10)	2782912597408868927	0 2 30 32 72 74 114 116 144 146	830202091026
SPT(20)	2782912613234461259	0 14 18 60 74 80 114 158 180 192 230 242 264 308 342 348 362 404 408 422	846027683358
STPT(10)	2782912682387608019	0 2 18 20 30 32 42 44 60 62	915180830118