Prime p₀= 1270462643639489327 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1270460341298366833	0 10 18 28 60 94 114 154 174 214 234 268 300 310 318 328	-2302341122494
SPT(16)	1270460702615227927	0 12 16 30 40 60 90 102 154 166 196 216 226 240 244 256	-1941024261400
SPT(16)	1270460705383620067	0 66 70 94 102 132 144 202 204 262 274 304 312 336 340 406	-1938255869260
SPT(16)	1270461395072228831	0 30 156 168 170 218 252 290 378 416 450 498 500 512 638 668	-1248567260496
SPT(16)	1270462508640667673	0 18 36 38 50 78 114 128 156 170 206 234 246 248 266 284	-134998821654
STPT(10)	1270462528252896611	0 2 6 8 48 50 90 92 96 98	-115386592716
TPT(14)	1270463016497564759	0 2 72 74 210 212 258 260 288 290 408 410 498 500	372858075432
STPT(10)	1270463740545733829	0 2 18 20 30 32 42 44 60 62	1096906244502
SPT(16)	1270463856759915193	0 28 48 94 96 150 168 208 246 286 304 358 360 406 426 454	1213120425866
STPT(10)	1270464401496790151	0 2 36 38 78 80 120 122 156 158	1757857300824
SPT(16)	1270464409681948933	0 4 30 34 60 64 96 118 126 148 180 184 210 214 240 244	1766042459606