Prime p₀= 1971670735770524147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Cruncher Pete
db: batch=80, k=10, 2 58 2 10 2

TPT(14)	1971669231001206197	0 2 114 116 222 224 294 296 390 392 492 494 504 506	-1504769317950
STPT(10)	1971669744491267801	0 2 36 38 78 80 120 122 156 158	-991279256346
STPT(10)	1971670234217428427	0 2 42 44 72 74 102 104 144 146	-501553095720
SPT(16)	1971670365399560207	0 6 30 56 114 182 240 254 312 326 384 452 510 536 560 566	-370370963940
SPT(16)	1971670531080557693	0 14 18 60 80 110 150 194 210 254 294 324 344 386 390 404	-204689966454
SPT(16)	1971670656705050689	0 10 40 42 70 84 100 120 154 174 190 204 232 234 264 274	-79065473458
SPT(16)	1971671127370523797	0 10 102 126 130 204 246 262 264 280 322 396 400 424 516 526	391599999650
STPT(10)	1971671553268661477	0 2 72 74 102 104 132 134 204 206	817498137330
SPT(16)	1971671701218054469	0 82 154 162 228 232 258 264 358 364 390 394 460 468 540 622	965447530322
SPT(16)	1971671702091897979	0 24 28 34 42 60 64 82 90 108 112 130 138 144 148 172	966321373832
STPT(10)	1971672044660046611	0 2 36 38 78 80 120 122 156 158	1308889522464