Prime p₀= 2957213696172456821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 64 2 88 2 22 2 94 2 (?)
a_n: 0 2 36 38 60 62 126 128 216 218 240 242 336 338
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: 338
Found by: fzs600
db: batch=82, k=14, 34 22 64 88 22 94

SPT(16)	2957211528133134791	0 2 26 50 156 176 182 212 330 360 366 386 492 516 540 542	-2168039322030
TPT(14)	2957212048147153931	0 2 246 248 366 368 408 410 486 488 528 530 600 602	-1648025302890
SPT(16)	2957212150593341623	0 10 16 30 54 78 94 120 154 180 196 220 244 258 264 274	-1545579115198
SPT(16)	2957212171472375941	0 12 40 120 132 192 252 262 288 298 358 418 430 510 538 550	-1524700080880
SPT(16)	2957212244518026713	0 8 50 56 74 248 260 270 284 294 306 480 498 504 546 554	-1451654430108
SPT(16)	2957212934037637213	0 70 108 126 136 144 148 184 240 276 280 288 298 316 354 424	-762134819608
SPT(18)	2957213824163568961	0 6 18 46 66 82 88 106 148 150 192 210 216 232 252 280 292 298	127991112140
SPT(16)	2957214263145897611	0 38 42 86 140 150 152 212 246 306 308 318 372 416 420 458	566973440790
SPT(16)	2957214618843901597	0 16 42 76 84 114 124 126 130 132 142 172 180 214 240 256	922671444776
SPT(16)	2957216158104470027	0 20 44 62 104 120 146 182 204 240 266 282 324 342 366 386	2461932013206
SPT(16)	2957216644401477037	0 16 34 46 72 90 142 144 292 294 346 364 390 402 420 436	2948229020216