Prime p₀= 2315883940677846767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 58 2 16 2 46 2 70 2 (?)
a_n: 0 2 42 44 54 56 114 116 132 134 180 182 252 254
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: 254
Found by: vinn@[CNT]
db: batch=81, k=14, 40 10 58 16 46 70

STPT(10)	2315883056597733377	0 2 30 32 42 44 54 56 84 86	-884080113390
SPT(16)	2315883232467712261	0 12 30 46 48 60 112 126 172 186 238 250 252 268 286 298	-708210134506
SPT(16)	2315883490466482603	0 10 16 60 76 88 94 120 184 210 216 228 244 288 294 304	-450211364164
SPT(16)	2315883555852425231	0 18 72 98 102 116 122 128 180 186 192 206 210 236 290 308	-384825421536
SPT(16)	2315883794474186089	0 48 52 112 124 130 160 168 184 192 222 228 240 300 304 352	-146203660678
SPT(16)	2315883806367549317	0 20 26 74 96 144 174 176 390 392 422 470 492 540 546 566	-134310297450
STPT(10)	2315884162606966979	0 2 18 20 30 32 42 44 60 62	221929120212
SPT(16)	2315884225485007733	0 30 36 90 128 138 150 168 176 194 206 216 254 308 314 344	284807160966
SPT(16)	2315884269172283599	0 18 82 100 102 144 174 180 202 208 238 280 282 300 364 382	328494436832
SPT(16)	2315884564324930271	0 32 60 92 156 186 212 288 290 366 392 422 486 518 546 578	623647083504
STPT(10)	2315884568027493941	0 2 30 32 78 80 126 128 156 158	627349647174