Prime p₀= 1285967884757912129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Cruncher Pete
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1285966897873071881	0 18 20 56 90 108 140 150 158 168 200 218 252 288 290 308	-986884840248
STPT(10)	1285967154508875731	0 2 6 8 48 50 90 92 96 98	-730249036398
SPT(16)	1285967175056778881	0 32 36 78 80 86 102 116 132 146 162 168 170 212 216 248	-709701133248
SPT(16)	1285967463171764809	0 42 52 108 172 178 192 198 274 280 294 300 364 420 430 472	-421586147320
STPT(10)	1285967813359469087	0 2 12 14 42 44 72 74 84 86	-71398443042
SPT(16)	1285967879244437729	0 20 104 114 132 140 174 194 198 218 252 260 278 288 372 392	-5513474400
STPT(10)	1285968065063381669	0 2 12 14 30 32 48 50 60 62	180305469540
SPT(16)	1285968393561381703	0 34 60 76 78 94 120 136 228 244 270 286 288 304 330 364	508803469574
STPT(10)	1285968652232787959	0 2 18 20 60 62 102 104 120 122	767474875830
SPT(16)	1285969614680432933	0 20 30 38 44 96 114 116 138 140 158 210 216 224 234 254	1729922520804
SPT(16)	1285969738094964467	0 24 44 72 80 90 116 122 174 180 206 216 224 252 272 296	1853337052338