Prime p₀= 2566638673239590627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2566637035312735241	0 2 36 38 108 110 180 182 216 218	-1637926855386
STPT(10)	2566637456071470179	0 2 138 140 180 182 222 224 360 362	-1217168120448
STPT(10)	2566637529602642687	0 2 42 44 102 104 162 164 204 206	-1143636947940
SPT(16)	2566637590659492253	0 16 36 78 106 150 154 180 334 360 364 408 436 478 498 514	-1082580098374
TPT(14)	2566638325596380531	0 2 60 62 150 152 168 170 198 200 210 212 270 272	-347643210096
SPT(16)	2566638431230360147	0 6 16 66 72 96 112 136 180 204 220 244 250 300 310 316	-242009230480
STPT(12)	2566638728688123797	0 2 12 14 24 26 30 32 42 44 54 56	55448533170
SPT(16)	2566638944170017643	0 10 36 64 66 78 120 136 138 154 196 208 210 238 264 274	270930427016
SPT(16)	2566640135025515693	0 8 20 60 104 110 128 198 200 270 288 294 338 378 390 398	1461785925066
SPT(16)	2566640343812066279	0 80 132 164 212 242 290 312 380 402 450 480 528 560 612 692	1670572475652
SPT(16)	2566640734322745013	0 10 16 24 64 114 136 156 238 258 280 330 370 378 384 394	2061083154386