Prime p₀= 946345427593880597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 118 2 16 2 136 2 28 2 22 2 (?)
a_n: 0 2 54 56 174 176 192 194 330 332 360 362 384 386
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: 386
Found by: stoneageman
db: batch=76, k=14, 52 118 16 136 28 22

STPT(10)	946344471698383739	0 2 42 44 60 62 78 80 120 122	-955895496858
STPT(10)	946344491334856961	0 2 6 8 48 50 90 92 96 98	-936259023636
STPT(10)	946344610317553397	0 2 30 32 42 44 54 56 84 86	-817276327200
TPT(14)	946345206044208071	0 2 78 80 126 128 138 140 258 260 426 428 516 518	-221549672526
SPT(16)	946345301518159399	0 10 22 24 42 54 64 142 162 240 250 262 280 282 294 304	-126075721198
SPT(16)	946345317883755781	0 70 88 106 120 172 180 186 232 238 246 298 312 330 348 418	-109710124816
SPT(16)	946345582359143387	0 24 42 84 110 144 194 200 234 240 290 324 350 392 410 434	154765262790
STPT(10)	946345791166195499	0 2 48 50 60 62 72 74 120 122	363572314902
STPT(10)	946346275202000039	0 2 12 14 90 92 168 170 180 182	847608119442
SPT(16)	946346566592301761	0 12 32 42 98 108 150 152 276 278 320 330 386 396 416 428	1138998421164
STPT(10)	946346651926875341	0 2 6 8 18 20 30 32 36 38	1224332994744