Prime p₀= 1314713103474427037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 58 2 70 2 136 2 70 2 (?)
a_n: 0 2 12 14 132 134 192 194 264 266 402 404 474 476
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: Theadalus
db: batch=77, k=14, 10 118 58 70 136 70

STPT(10)	1314712225098964577	0 2 12 14 72 74 132 134 144 146	-878375462460
SPT(16)	1314712347696647803	0 24 28 30 60 114 154 166 198 210 250 304 334 336 340 364	-755777779234
SPT(16)	1314712448010398747	0 24 56 74 114 116 140 164 246 270 294 296 336 354 386 410	-655464028290
STPT(10)	1314712795176988367	0 2 30 32 42 44 54 56 84 86	-308297438670
SPT(20)	1314712803453716399	0 12 14 38 68 174 210 272 332 344 348 360 420 482 518 624 654 678 680 692	-300020710638
SPT(16)	1314712806017355907	0 10 12 16 42 60 66 84 112 130 136 154 180 184 186 196	-297457071130
SPT(16)	1314713246372026057	0 16 36 90 102 120 130 154 162 186 196 214 226 280 300 316	142897599020
SPT(16)	1314713357478362929	0 42 52 64 84 90 112 204 208 300 322 328 348 360 370 412	254003935892
SPT(16)	1314713824446423439	0 52 70 82 90 112 240 250 252 262 390 412 420 432 450 502	720971996402
SPT(16)	1314713859832350359	0 2 32 92 98 152 170 180 260 270 288 342 348 408 438 440	756357923322
SPT(16)	1314714077460564371	0 12 30 42 90 138 192 210 218 236 290 338 386 398 416 428	973986137334