Prime p₀= 3217257284939247677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 148 2 40 2 76 2 178 2 10 2 (?)
a_n: 0 2 12 14 162 164 204 206 282 284 462 464 474 476
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: 476
Found by: pelpolaris
db: batch=83, k=14, 10 148 40 76 178 10

SPT(16)	3217256380071826271	0 36 72 90 186 200 222 240 242 260 282 296 392 410 446 482	-904867421406
SPT(16)	3217256392008376591	0 42 46 60 90 100 112 150 178 216 228 238 268 282 286 328	-892930871086
SPT(16)	3217256425379057671	0 22 30 42 60 120 136 162 340 366 382 442 460 472 480 502	-859560190006
SPT(16)	3217256548489062197	0 2 24 30 86 104 132 170 186 224 252 270 326 332 354 356	-736450185480
STPT(10)	3217256819951044691	0 2 6 8 18 20 30 32 36 38	-464988202986
SPT(16)	3217257087437418281	0 6 48 98 110 200 252 270 308 326 378 468 480 530 572 578	-197501829396
SPT(16)	3217257294117589661	0 2 32 38 42 102 116 120 158 162 176 236 240 246 276 278	9178341984
SPT(22)	3217257421108875841	0 82 126 132 138 156 160 190 198 202 208 240 246 250 258 288 292 310 316 322 366 448	136169628164
STPT(10)	3217257498882852707	0 2 42 44 72 74 102 104 144 146	213943605030
TPT(14)	3217258500194560271	0 2 36 38 126 128 240 242 288 290 336 338 378 380	1215255312594
SPT(16)	3217259056762979119	0 40 72 82 90 150 202 240 244 282 334 394 402 412 444 484	1771823731442