Prime p₀= 2531831258691352991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 106 2 58 2 118 2 16 2 (?)
a_n: 0 2 48 50 90 92 198 200 258 260 378 380 396 398
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: 398
Found by: RFGuy_KCCO
db: batch=82, k=14, 46 40 106 58 118 16

SPT(16)	2531829711545253143	0 14 48 96 98 134 230 254 300 324 420 456 458 506 540 554	-1547146099848
TPT(14)	2531830025914144979	0 2 102 104 132 134 258 260 282 284 342 344 372 374	-1232777208012
STPT(10)	2531830308509107811	0 2 6 8 18 20 30 32 36 38	-950182245180
SPT(16)	2531830784176076927	0 26 56 62 104 140 144 200 216 272 276 312 354 360 390 416	-474515276064
SPT(16)	2531830901643442601	0 26 48 56 66 72 86 138 140 192 206 212 222 230 252 278	-357047910390
SPT(16)	2531831044528441849	0 12 22 34 70 100 120 162 202 244 264 294 330 342 352 364	-214162911142
STPT(10)	2531831373856029779	0 2 78 80 120 122 162 164 240 242	115164676788
SPT(16)	2531831393194584421	0 28 100 142 160 166 168 208 360 400 402 408 426 468 540 568	134503231430
STPT(10)	2531831501787922889	0 2 42 44 60 62 78 80 120 122	243096569898
SPT(16)	2531831551961733809	0 2 20 30 60 132 168 212 258 302 338 410 440 450 468 470	293270380818
STPT(10)	2531831835379850291	0 2 36 38 78 80 120 122 156 158	576688497300