Prime p₀= 3216239360935452737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 46 2 10 2 28 2 34 2 (?)
a_n: 0 2 72 74 84 86 132 134 144 146 174 176 210 212
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: 212
Found by: hase
db: batch=83, k=14, 70 10 46 10 28 34

SPT(16)	3216238375071227581	0 6 12 22 40 60 70 82 126 138 148 168 186 196 202 208	-985864225156
TPT(14)	3216238444538239187	0 2 60 62 72 74 84 86 144 146 210 212 222 224	-916397213550
STPT(10)	3216238444538239187	0 2 60 62 72 74 84 86 144 146	-916397213550
SPT(16)	3216238530047372761	0 18 22 46 52 78 88 126 172 210 220 246 252 276 280 298	-830888079976
SPT(16)	3216238883124176201	0 12 62 92 102 140 216 222 350 356 432 470 480 510 560 572	-477811276536
SPT(16)	3216239078606112947	0 6 12 120 146 212 216 254 342 380 384 450 476 584 590 596	-282329339790
SPT(16)	3216239532744193597	0 4 52 94 154 174 234 250 306 322 382 402 462 504 552 556	171808740860
STPT(10)	3216239641884808067	0 2 60 62 72 74 84 86 144 146	280949355330
SPT(16)	3216239736778605671	0 38 66 98 138 140 150 270 326 446 456 458 498 530 558 596	375843152934
SPT(16)	3216240046533479279	0 30 44 84 122 140 152 198 224 270 282 300 338 378 392 422	685598026542
STPT(10)	3216240333536883839	0 2 18 20 30 32 42 44 60 62	972601431102