Prime p₀= 1147752585967798829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 112 2 34 2 40 2 70 2 16 2 (?)
a_n: 0 2 18 20 132 134 168 170 210 212 282 284 300 302
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: 302
Found by: Theadalus
db: batch=76, k=14, 16 112 34 40 70 16

SPT(16)	1147751803484603623	0 28 40 48 78 88 130 138 196 204 246 256 286 294 306 334	-782483195206
STPT(10)	1147751832114406151	0 2 6 8 48 50 90 92 96 98	-753853392678
STPT(10)	1147752209779193069	0 2 18 20 30 32 42 44 60 62	-376188605760
SPT(16)	1147752301700345543	0 14 24 98 140 144 164 186 278 300 320 324 366 440 450 464	-284267453286
STPT(10)	1147752411557660507	0 2 30 32 42 44 54 56 84 86	-174410138322
SPT(16)	1147752418001067787	0 72 96 154 226 256 282 304 342 364 390 420 492 550 574 646	-167966731042
STPT(10)	1147752804038106821	0 2 36 38 78 80 120 122 156 158	218070307992
SPT(20)	1147752896589165437	0 2 30 102 116 140 204 216 252 264 302 314 350 362 426 450 464 536 564 566	310621366608
SPT(16)	1147752903564153829	0 10 12 42 82 88 108 120 220 232 252 258 298 328 330 340	317596355000
SPT(16)	1147752989003663527	0 30 46 52 136 150 154 156 190 192 196 210 294 300 316 346	403035864698
SPT(16)	1147753400777982371	0 60 66 72 98 150 156 198 200 242 248 300 326 332 338 398	814810183542