Prime p₀= 2156837406436026047 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2156836192569399127	0 10 12 64 72 90 114 120 154 160 184 202 210 262 264 274	-1213866626920
SPT(16)	2156836290282644801	0 20 26 32 140 146 206 210 242 246 306 312 420 426 432 452	-1116153381246
SPT(16)	2156836753166698531	0 60 78 88 112 118 120 130 168 178 180 186 210 220 238 298	-653269327516
SPT(16)	2156836800650683621	0 16 42 52 82 88 108 112 126 130 150 156 186 196 222 238	-605785342426
SPT(16)	2156836932749996491	0 10 12 96 108 112 172 180 238 246 306 310 322 406 408 418	-473686029556
STPT(10)	2156837066169832547	0 2 12 14 72 74 132 134 144 146	-340266193500
SPT(16)	2156838190967219167	0 6 22 42 94 106 132 192 244 304 330 342 394 414 430 436	784531193120
SPT(16)	2156838195779110523	0 26 54 60 66 144 186 248 306 368 410 488 494 500 528 554	789343084476
STPT(10)	2156838266282622677	0 2 42 44 72 74 102 104 144 146	859846596630
SPT(16)	2156838929119147279	0 40 48 52 102 112 168 174 178 184 240 250 300 304 312 352	1522683121232
STPT(10)	2156839175290675649	0 2 42 44 90 92 138 140 180 182	1768854649602