Prime p₀= 1429772320165070639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 106 2 70 2 16 2 22 2 (?)
a_n: 0 2 60 62 90 92 198 200 270 272 288 290 312 314
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: 314
Found by: UBT - Timbo
db: batch=78, k=14, 58 28 106 70 16 22

SPT(16)	1429771544418026489	0 50 78 98 138 144 164 180 182 198 218 224 264 284 312 362	-775747044150
STPT(10)	1429771815740102687	0 2 30 32 72 74 114 116 144 146	-504424967952
SPT(16)	1429771888377069407	0 30 36 56 66 104 120 134 156 170 186 224 234 254 260 290	-431788001232
STPT(10)	1429772074822472177	0 2 24 26 42 44 60 62 84 86	-245342598462
STPT(10)	1429772125771954631	0 2 6 8 18 20 30 32 36 38	-194393116008
SPT(16)	1429772308261059047	0 20 26 110 120 126 152 162 194 204 230 236 246 330 336 356	-11904011592
TPT(14)	1429772465071353617	0 2 12 14 42 44 210 212 240 242 342 344 504 506	144906282978
SPT(16)	1429772613775911919	0 10 154 184 198 262 282 328 384 430 450 514 528 558 702 712	293610841280
SPT(16)	1429772804548697737	0 16 36 60 100 112 144 154 162 172 204 216 256 280 300 316	484383627098
SPT(20)	1429772909601455011	0 28 42 46 66 90 106 120 136 250 258 372 388 402 418 442 462 466 480 508	589436384372
TPT(14)	1429773211538205221	0 2 30 32 228 230 270 272 288 290 408 410 426 428	891373134582