Prime p₀= 1120127988061631957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 70 2 76 2 46 2 22 2 (?)
a_n: 0 2 114 116 132 134 204 206 282 284 330 332 354 356
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: 356
Found by: zzuupp
db: batch=76, k=14, 112 16 70 76 46 22

SPT(16)	1120125941417974867	0 6 24 94 102 154 160 166 180 186 192 244 252 322 340 346	-2046643657090
SPT(16)	1120126431842886527	0 2 12 30 42 72 80 86 90 96 104 134 146 164 174 176	-1556218745430
STPT(10)	1120126434653944187	0 2 30 32 42 44 54 56 84 86	-1553407687770
TPT(14)	1120127103090912617	0 2 24 26 72 74 84 86 120 122 150 152 162 164	-884970719340
SPT(16)	1120127379274060033	0 4 10 16 84 106 114 136 294 316 324 346 414 420 426 430	-608787571924
TPT(14)	1120127441626740179	0 2 42 44 78 80 90 92 120 122 180 182 222 224	-546434891778
SPT(16)	1120128064142902897	0 4 42 60 96 130 150 172 174 196 216 250 286 304 342 346	76081270940
SPT(16)	1120128128250851099	0 24 32 50 98 120 122 158 174 210 212 234 282 300 308 332	140189219142
SPT(16)	1120128692313337919	0 18 32 134 200 224 234 378 434 578 588 612 678 780 794 812	704251705962
SPT(16)	1120128904129222831	0 12 48 60 78 112 138 202 216 280 306 340 358 370 406 418	916067590874
SPT(16)	1120128931154077487	0 2 14 32 42 60 74 110 216 252 266 284 294 312 324 326	943092445530