Prime p₀= 2330849918967872987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 130 2 76 2 10 2 136 2 (?)
a_n: 0 2 12 14 102 104 234 236 312 314 324 326 462 464
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: 464
Found by: Orange Kid
db: batch=81, k=14, 10 88 130 76 10 136

SPT(16)	2330849056860470173	0 4 54 58 60 88 96 180 184 268 276 304 306 310 360 364	-862107402814
TPT(14)	2330849183769937007	0 2 72 74 90 92 210 212 282 284 300 302 372 374	-735197935980
STPT(10)	2330849436842258597	0 2 42 44 72 74 102 104 144 146	-482125614390
STPT(10)	2330849527297566851	0 2 36 38 78 80 120 122 156 158	-391670306136
SPT(18)	2330849632640206829	0 2 8 62 132 182 188 204 240 362 398 414 420 470 540 594 600 602	-286327666158
SPT(16)	2330849712441933589	0 54 100 148 154 168 174 208 240 274 280 294 300 348 394 448	-206525939398
SPT(16)	2330850185729593309	0 4 18 88 112 118 138 172 210 244 264 270 294 364 378 382	266761720322
SPT(16)	2330850285389894327	0 2 12 36 50 66 92 132 254 294 320 336 350 374 384 386	366422021340
SPT(18)	2330850324568970207	0 2 6 56 80 84 134 146 176 210 240 252 302 306 330 380 384 386	405601097220
STPT(10)	2330850603474298067	0 2 30 32 42 44 54 56 84 86	684506425080
STPT(10)	2330851051899650237	0 2 24 26 42 44 60 62 84 86	1132931777250