Prime p₀= 2157996146320327631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 76 2 76 2 88 2 (?)
a_n: 0 2 90 92 168 170 246 248 336 338
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: 338
Found by: Landjunge
db: batch=81, k=10, 2 88 2 76 2

STPT(12)	2157994942842982469	0 2 30 32 42 44 78 80 90 92 120 122	-1203477345162
STPT(10)	2157995019176796419	0 2 42 44 90 92 138 140 180 182	-1127143531212
SPT(13)	2157995130120709651	0 30 78 168 198 210 228 246 258 288 378 426 456	-1016199617980
SPT(16)	2157995373633679633	0 16 18 28 30 48 70 84 130 144 166 184 186 196 198 214	-772686647998
STPT(10)	2157995527927860461	0 2 36 38 78 80 120 122 156 158	-618392467170
SPT(16)	2157995837872778549	0 20 74 84 92 114 132 144 158 170 188 210 218 228 282 302	-308447549082
SPT(16)	2157996280305840547	0 66 72 112 136 250 286 292 354 360 396 510 534 574 580 646	133985512916
SPT(16)	2157996510860823377	0 66 114 120 150 164 170 176 240 246 252 266 296 302 350 416	364540495746
SPT(16)	2157996759970998553	0 36 76 78 94 136 180 210 214 244 288 330 346 348 388 424	613650670922
STPT(10)	2157996776367341759	0 2 48 50 90 92 132 134 180 182	630047014128
STPT(10)	2157997104741710117	0 2 12 14 42 44 72 74 84 86	958421382486