Prime p₀= 1387320871192537679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 64 2 22 2 34 2 40 2 40 2 (?)
a_n: 0 2 102 104 168 170 192 194 228 230 270 272 312 314
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: 314
Found by: samuraiii
db: batch=77, k=14, 100 64 22 34 40 40

SPT(16)	1387319725888114847	0 20 30 36 44 54 72 92 294 314 332 342 350 356 366 386	-1145304422832
SPT(16)	1387320063675285841	0 36 40 58 70 168 190 202 246 258 280 378 390 408 412 448	-807517251838
STPT(10)	1387320075817080701	0 2 6 8 18 20 30 32 36 38	-795375456978
SPT(20)	1387320222066535649	0 14 54 72 84 132 140 230 294 300 392 398 462 552 560 608 620 638 678 692	-649126002030
SPT(16)	1387320432625294333	0 4 18 24 36 70 78 96 118 136 144 178 190 196 210 214	-438567243346
STPT(10)	1387320736207138487	0 2 60 62 72 74 84 86 144 146	-134985399192
SPT(16)	1387321137898658453	0 38 44 54 60 84 110 116 288 294 320 344 350 360 366 404	266706120774
STPT(10)	1387321657455188627	0 2 30 32 42 44 54 56 84 86	786262650948
SPT(16)	1387321929514066487	0 2 42 62 86 132 174 236 240 302 344 390 414 434 474 476	1058321528808
SPT(16)	1387322321405914469	0 32 44 60 80 98 102 108 134 140 144 162 182 198 210 242	1450213376790
SPT(16)	1387322362572551623	0 36 54 78 96 168 208 246 268 306 346 418 436 460 478 514	1491380013944