Prime p₀= 2743762147857323519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 184 2 10 2 16 2 40 2 (?)
a_n: 0 2 42 44 132 134 318 320 330 332 348 350 390 392
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: 392
Found by: [B^S]ABoskovich
db: batch=82, k=14, 40 88 184 10 16 40

SPT(13)	2743760937545897123	0 18 60 78 84 138 144 150 204 210 228 270 288	-1210311426396
STPT(10)	2743761082063577699	0 2 12 14 30 32 48 50 60 62	-1065793745820
SPT(16)	2743761144299119013	0 14 84 90 104 168 170 180 188 198 200 264 278 284 354 368	-1003558204506
SPT(16)	2743761268192444387	0 40 70 84 96 154 166 174 202 210 222 280 292 306 336 376	-879664879132
SPT(16)	2743761694308428639	0 2 20 32 60 102 174 222 242 290 362 404 432 444 462 464	-453548894880
SPT(16)	2743761939960298351	0 30 52 72 106 138 142 160 198 216 220 252 286 306 328 358	-207897025168
STPT(10)	2743762515679337819	0 2 18 20 30 32 42 44 60 62	367822014300
TPT(14)	2743762687120380041	0 2 48 50 138 140 210 212 228 230 240 242 420 422	539263056522
STPT(10)	2743762971735646247	0 2 90 92 102 104 114 116 204 206	823878322728
SPT(16)	2743763044808232869	0 14 24 30 48 50 92 104 108 120 162 164 182 188 198 212	896950909350
SPT(16)	2743763064339349567	0 42 154 190 204 240 246 256 270 280 286 322 336 372 484 526	916482026048