Prime p₀= 2156837066169832547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2156836170091308029	0 2 18 20 30 32 42 44 60 62	-896078524518
SPT(16)	2156836192569399127	0 10 12 64 72 90 114 120 154 160 184 202 210 262 264 274	-873600433420
SPT(16)	2156836290282644801	0 20 26 32 140 146 206 210 242 246 306 312 420 426 432 452	-775887187746
SPT(16)	2156836753166698531	0 60 78 88 112 118 120 130 168 178 180 186 210 220 238 298	-313003134016
SPT(16)	2156836800650683621	0 16 42 52 82 88 108 112 126 130 150 156 186 196 222 238	-265519148926
SPT(16)	2156836932749996491	0 10 12 96 108 112 172 180 238 246 306 310 322 406 408 418	-133419836056
STPT(10)	2156837406436026047	0 2 24 26 42 44 60 62 84 86	340266193500
SPT(16)	2156838190967219167	0 6 22 42 94 106 132 192 244 304 330 342 394 414 430 436	1124797386620
SPT(16)	2156838195779110523	0 26 54 60 66 144 186 248 306 368 410 488 494 500 528 554	1129609277976
STPT(10)	2156838266282622677	0 2 42 44 72 74 102 104 144 146	1200112790130
SPT(16)	2156838929119147279	0 40 48 52 102 112 168 174 178 184 240 250 300 304 312 352	1862949314732