Prime p₀= 2761476318708676799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 46 2 46 2 40 2 28 2 (?)
a_n: 0 2 60 62 102 104 150 152 198 200 240 242 270 272
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: 272
Found by: UBT - Timbo
db: batch=82, k=14, 58 40 46 46 40 28

TPT(14)	2761474560955008497	0 2 60 62 84 86 294 296 300 302 390 392 462 464	-1757753668302
SPT(16)	2761475279318079089	0 42 72 98 122 128 150 188 282 320 342 348 372 398 428 470	-1039390597710
STPT(10)	2761475450247858737	0 2 30 32 42 44 54 56 84 86	-868460818062
STPT(10)	2761475662313805761	0 2 36 38 78 80 120 122 156 158	-656394871038
SPT(16)	2761475669469675097	0 10 60 150 154 156 190 192 274 276 310 312 316 406 456 466	-649239001702
STPT(10)	2761475978429160479	0 2 48 50 90 92 132 134 180 182	-340279516320
STPT(10)	2761476318708676859	0 2 42 44 90 92 138 140 180 182	60
SPT(16)	2761476400793047313	0 26 38 48 78 104 110 134 180 204 210 236 266 276 288 314	82084370514
STPT(10)	2761476466973707331	0 2 30 32 60 62 90 92 120 122	148265030532
SPT(16)	2761477215267154063	0 30 54 78 84 88 114 124 144 154 180 184 190 214 238 268	896558477264
SPT(16)	2761477278274838719	0 70 72 82 84 112 114 150 154 190 192 220 222 232 234 304	959566161920