Prime p₀= 1083375033300545129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 64 2 22 2 34 2 22 2 (?)
a_n: 0 2 42 44 132 134 198 200 222 224 258 260 282 284
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: 284
Found by: Gumbo
db: batch=76, k=14, 40 88 64 22 34 22

STPT(10)	1083374314129327679	0 2 18 20 30 32 42 44 60 62	-719171217450
STPT(10)	1083374366599441121	0 2 6 8 18 20 30 32 36 38	-666701104008
STPT(10)	1083374632652151809	0 2 12 14 30 32 48 50 60 62	-400648393320
SPT(16)	1083374729912384249	0 2 32 48 72 98 120 134 138 152 174 200 224 240 270 272	-303388160880
SPT(16)	1083374972860674367	0 24 52 54 126 174 186 216 220 250 262 310 382 384 412 436	-60439870762
STPT(10)	1083375032076170921	0 2 6 8 48 50 90 92 96 98	-1224374208
SPT(16)	1083375210728405263	0 4 28 30 54 64 78 88 180 190 204 214 238 240 264 268	177427860134
SPT(16)	1083375305970547199	0 18 32 60 78 80 98 168 284 354 372 374 392 420 434 452	272670002070
STPT(10)	1083375404775703997	0 2 12 14 42 44 72 74 84 86	371475158868
SPT(16)	1083375416577443039	0 8 12 44 74 114 180 198 224 242 308 348 378 410 414 422	383276897910
SPT(16)	1083376123340789527	0 6 42 64 120 130 132 142 354 364 366 376 432 454 490 496	1090040244398