Prime p₀= 1230588257199390977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1230587547834014171	0 2 6 8 48 50 90 92 96 98	-709365376806
STPT(10)	1230587552245771607	0 2 30 32 42 44 54 56 84 86	-704953619370
SPT(16)	1230587738773097381	0 26 56 68 78 96 120 132 146 158 182 200 210 222 252 278	-518426293596
SPT(16)	1230588025764352811	0 48 90 92 140 150 212 246 392 426 488 498 546 548 590 638	-231435038166
SPT(16)	1230588027719855561	0 26 86 120 162 180 186 236 252 302 308 326 368 402 462 488	-229479535416
SPT(16)	1230588134459140357	0 40 42 54 84 132 154 172 252 270 292 340 370 382 384 424	-122740250620
SPT(16)	1230588269846278771	0 28 46 52 72 136 178 208 240 270 312 376 396 402 420 448	12646887794
SPT(16)	1230588359819120017	0 46 52 60 72 84 106 126 130 150 172 184 196 204 210 256	102619729040
STPT(10)	1230588613991455289	0 2 18 20 30 32 42 44 60 62	356792064312
STPT(10)	1230588832705418489	0 2 78 80 120 122 162 164 240 242	575506027512
STPT(10)	1230589127693122781	0 2 78 80 108 110 138 140 216 218	870493731804