Prime p₀= 1246916266665520247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: emoga
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1246914792488322239	0 2 42 44 60 62 78 80 120 122	-1474177198008
STPT(10)	1246915949684706407	0 2 30 32 42 44 54 56 84 86	-316980813840
STPT(12)	1246916034473070287	0 2 30 32 72 74 102 104 144 146 174 176	-232192449960
SPT(16)	1246916078109854011	0 16 58 70 82 90 96 112 156 172 178 186 198 210 252 268	-188555666236
TPT(14)	1246916138085273629	0 2 138 140 150 152 180 182 240 242 252 254 318 320	-128580246618
SPT(18)	1246916226183628801	0 10 16 42 76 82 100 108 168 190 250 258 276 282 316 342 348 358	-40481891446
STPT(10)	1246916857384661987	0 2 30 32 42 44 54 56 84 86	590719141740
SPT(16)	1246917031742902843	0 60 64 88 100 136 138 156 178 196 198 234 246 270 274 334	765077382596
SPT(16)	1246917053835780961	0 28 36 58 72 102 132 168 190 226 256 286 300 322 330 358	787170260714
SPT(16)	1246917223058407429	0 12 48 64 70 78 88 118 174 204 214 222 228 244 280 292	956392887182
STPT(10)	1246917784082156729	0 2 48 50 90 92 132 134 180 182	1517416636482