Prime p₀= 813695994441355097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 70 2 328 2 4 2 40 2 (?)
a_n: 0 2 90 92 132 134 204 206 534 536 540 542 582 584
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: 584
Found by: matali
db: batch=73, k=14, 88 40 70 328 4 40

SPT(16)	813695636683275343	0 40 78 106 186 210 228 270 274 316 334 358 438 466 504 544	-357758079754
STPT(10)	813695671301727059	0 2 18 20 30 32 42 44 60 62	-323139628038
SPT(16)	813695798000783053	0 54 94 96 130 174 180 186 208 214 220 264 298 300 340 394	-196440572044
SPT(18)	813695893482332309	0 38 44 74 78 80 108 140 218 270 348 380 408 410 414 444 450 488	-100959022788
SPT(16)	813695902276275077	0 20 54 56 66 80 132 146 210 224 276 290 300 302 336 356	-92165080020
STPT(10)	813695918013732119	0 2 42 44 60 62 78 80 120 122	-76427622978
SPT(16)	813696020223423697	0 6 12 24 42 54 66 76 210 220 232 244 262 274 280 286	25782068600
SPT(16)	813696257068676647	0 30 54 102 106 154 172 186 250 264 282 330 334 382 406 436	262627321550
SPT(16)	813696546811817021	0 8 36 38 56 80 86 92 156 162 168 192 210 212 240 248	552370461924
STPT(10)	813696869156478491	0 2 30 32 60 62 90 92 120 122	874715123394
SPT(16)	813696945682345759	0 4 24 30 34 58 90 100 102 112 144 168 172 178 198 202	951240990662