Prime p₀= 1572075491386256321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 58 2 40 2 4 2 28 2 (?)
a_n: 0 2 36 38 108 110 168 170 210 212 216 218 246 248
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: 248
Found by: vinn@[CNT]
db: batch=78, k=14, 34 70 58 40 4 28

SPT(16)	1572074722773411827	0 20 32 50 60 66 116 120 122 126 176 182 192 210 222 242	-768612844494
STPT(10)	1572074979220824821	0 2 30 32 120 122 210 212 240 242	-512165431500
STPT(10)	1572075024547741529	0 2 12 14 30 32 48 50 60 62	-466838514792
SPT(16)	1572075028525727729	0 12 42 54 72 78 90 92 210 212 224 230 248 260 290 302	-462860528592
SPT(16)	1572075435630443831	0 20 38 90 110 126 128 150 338 360 362 378 398 450 468 488	-55755812490
STPT(10)	1572075453231863339	0 2 12 14 90 92 168 170 180 182	-38154392982
STPT(10)	1572075564720241907	0 2 60 62 72 74 84 86 144 146	73333985586
SPT(16)	1572075571964098783	0 18 58 60 70 130 136 150 226 240 246 306 316 318 358 376	80577842462
SPT(16)	1572075843318138311	0 26 32 60 96 108 116 168 170 222 230 242 278 306 312 338	351931881990
STPT(10)	1572075876796591667	0 2 54 56 72 74 90 92 144 146	385410335346
TPT(14)	1572076023360737117	0 2 12 14 54 56 84 86 114 116 144 146 150 152	531974480796