Prime p₀= 1246916138085273629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 10 2 28 2 58 2 10 2 64 2 (?)
a_n: 0 2 138 140 150 152 180 182 240 242 252 254 318 320
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 320
Found by: emoga
db: batch=77, k=14, 136 10 28 58 10 64

SPT(16)	1246914385681082731	0 18 42 60 78 88 90 160 198 268 270 280 298 316 340 358	-1752404190898
SPT(16)	1246914640823526047	0 20 50 80 84 86 120 132 284 296 330 332 336 366 396 416	-1497261747582
STPT(10)	1246914792488322239	0 2 42 44 60 62 78 80 120 122	-1345596951390
STPT(10)	1246915949684706407	0 2 30 32 42 44 54 56 84 86	-188400567222
STPT(12)	1246916034473070287	0 2 30 32 72 74 102 104 144 146 174 176	-103612203342
SPT(16)	1246916078109854011	0 16 58 70 82 90 96 112 156 172 178 186 198 210 252 268	-59975419618
SPT(18)	1246916226183628801	0 10 16 42 76 82 100 108 168 190 250 258 276 282 316 342 348 358	88098355172
STPT(10)	1246916266665520247	0 2 30 32 42 44 54 56 84 86	128580246618
STPT(10)	1246916857384661987	0 2 30 32 42 44 54 56 84 86	719299388358
SPT(16)	1246917031742902843	0 60 64 88 100 136 138 156 178 196 198 234 246 270 274 334	893657629214
SPT(16)	1246917053835780961	0 28 36 58 72 102 132 168 190 226 256 286 300 322 330 358	915750507332