Prime p₀= 1362921092167436861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 16 2 70 2 76 2 82 2 (?)
a_n: 0 2 66 68 78 80 96 98 168 170 246 248 330 332
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: 332
Found by: emoga
db: batch=77, k=14, 64 10 16 70 76 82

SPT(16)	1362918216268915771	0 10 12 28 90 132 136 166 192 222 226 268 330 346 348 358	-2875898521090
SPT(16)	1362918351447552871	0 12 28 46 70 76 102 142 156 196 222 228 252 270 286 298	-2740719883990
STPT(10)	1362918497127024359	0 2 18 20 30 32 42 44 60 62	-2595040412502
STPT(10)	1362918557703167147	0 2 42 44 72 74 102 104 144 146	-2534464269714
SPT(16)	1362919198847839019	0 18 32 72 90 92 102 128 132 158 168 170 188 228 242 260	-1893319597842
SPT(16)	1362919478909044367	0 54 72 80 86 156 180 182 234 236 260 330 336 344 362 416	-1613258392494
STPT(10)	1362921169826892017	0 2 24 26 42 44 60 62 84 86	77659455156
SPT(16)	1362921260605041721	0 28 48 108 112 136 178 322 366 510 552 576 580 640 660 688	168437604860
SPT(16)	1362921366518036167	0 10 22 24 36 72 94 120 196 222 244 280 292 294 306 316	274350599306
SPT(16)	1362921367788510319	0 18 30 100 102 114 154 180 202 228 268 280 282 352 364 382	275621073458
SPT(16)	1362921407333417857	0 16 76 90 100 142 150 210 226 286 294 336 346 360 420 436	315165980996