Prime p₀= 2966592930923222537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 88 2 76 2 10 2 16 2 (?)
a_n: 0 2 30 32 54 56 144 146 222 224 234 236 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 28 22 88 76 10 16

SPT(16)	2966591327575082663	0 26 30 44 78 114 164 180 224 240 290 326 360 374 378 404	-1603348139874
STPT(12)	2966591350235944757	0 2 30 32 42 44 132 134 144 146 174 176	-1580687277780
SPT(16)	2966591615691373829	0 32 38 42 60 74 102 110 222 230 258 272 290 294 300 332	-1315231848708
STPT(10)	2966592304398750887	0 2 30 32 72 74 114 116 144 146	-626524471650
SPT(16)	2966592331216871683	0 40 46 84 124 154 160 244 300 384 390 420 460 498 504 544	-599706350854
SPT(16)	2966592333454111889	0 2 30 44 80 102 108 140 192 224 230 252 288 302 330 332	-597469110648
STPT(10)	2966593473374112017	0 2 42 44 72 74 102 104 144 146	542450889480
SPT(16)	2966593632461635213	0 24 46 48 58 94 160 174 280 294 360 396 406 408 430 454	701538412676
SPT(16)	2966593722419661799	0 10 12 22 72 78 232 234 238 240 394 400 450 460 462 472	791496439262
SPT(16)	2966593729275695941	0 16 60 76 100 118 148 192 196 240 270 288 312 328 372 388	798352473404
STPT(10)	2966593808572935449	0 2 18 20 30 32 42 44 60 62	877649712912