Prime p₀= 1251909979646052437 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=77, k=10, 2 58 2 10 2

STPT(10)	1251909600914818007	0 2 30 32 42 44 54 56 84 86	-378731234430
TPT(14)	1251909655098041627	0 2 72 74 162 164 240 242 294 296 312 314 330 332	-324548010810
STPT(10)	1251909679398452741	0 2 6 8 18 20 30 32 36 38	-300247599696
SPT(16)	1251909695136726091	0 12 22 70 72 88 100 120 148 168 180 196 198 246 256 268	-284509326346
STPT(12)	1251909696148959431	0 2 36 38 78 80 138 140 180 182 216 218	-283497093006
SPT(16)	1251909865367952409	0 24 82 160 178 180 244 300 322 378 442 444 462 540 598 622	-114278100028
STPT(10)	1251910449267446831	0 2 36 38 78 80 120 122 156 158	469621394394
STPT(10)	1251910870203062891	0 2 6 8 48 50 90 92 96 98	890557010454
SPT(16)	1251911051419923061	0 16 40 48 58 72 90 96 112 118 136 150 160 168 192 208	1071773870624
STPT(12)	1251911590194558581	0 2 30 32 78 80 198 200 246 248 276 278	1610548506144
SPT(16)	1251911642601026573	0 6 48 78 80 90 108 158 168 218 236 246 248 278 320 326	1662954974136