Prime p₀= 2355523019460256949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 70 2 124 2 22 2 (?)
a_n: 0 2 18 20 30 32 90 92 162 164 288 290 312 314
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: Landjunge
db: batch=81, k=14, 16 10 58 70 124 22

STPT(10)	2355522173188179767	0 2 90 92 102 104 114 116 204 206	-846272077182
SPT(16)	2355522178710581053	0 40 60 76 136 150 160 196 270 306 316 330 390 406 426 466	-840749675896
STPT(10)	2355522432267347009	0 2 42 44 60 62 78 80 120 122	-587192909940
SPT(16)	2355522436159119371	0 60 102 110 126 132 156 170 198 212 236 242 258 266 308 368	-583301137578
STPT(10)	2355522957255647951	0 2 30 32 78 80 126 128 156 158	-62204608998
STPT(10)	2355522962032607357	0 2 42 44 72 74 102 104 144 146	-57427649592
SPT(16)	2355523027151474597	0 30 32 114 120 152 162 180 344 362 372 404 410 492 494 524	7691217648
STPT(10)	2355523323426537767	0 2 24 26 42 44 60 62 84 86	303966280818
STPT(10)	2355523652378527451	0 2 6 8 18 20 30 32 36 38	632918270502
SPT(16)	2355523881058363849	0 28 60 72 124 184 238 264 268 294 348 408 460 472 504 532	861598106900
STPT(10)	2355524435088995999	0 2 48 50 90 92 132 134 180 182	1415628739050