Prime p₀= 2502370667934764327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 76 2 100 2 94 2 10 2 (?)
a_n: 0 2 30 32 84 86 162 164 264 266 360 362 372 374
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: 374
Found by: [SG-FC] hl
db: batch=82, k=14, 28 52 76 100 94 10

SPT(16)	2502369505341215903	0 30 50 60 68 98 108 228 260 380 390 420 428 438 458 488	-1162593548424
SPT(16)	2502369541717919899	0 12 22 34 48 78 88 90 112 114 124 154 168 180 190 202	-1126216844428
SPT(16)	2502369760759639933	0 70 78 114 120 166 268 270 274 276 378 424 430 466 474 544	-907175124394
SPT(16)	2502370005961507751	0 20 38 56 66 108 128 132 146 150 170 212 222 240 258 278	-661973256576
SPT(16)	2502370176937783487	0 44 56 102 132 140 164 216 290 342 366 374 404 450 462 506	-490996980840
TPT(14)	2502370530375232157	0 2 54 56 90 92 102 104 144 146 300 302 312 314	-137559532170
TPT(16)	2502370878316370777	0 2 60 62 84 86 102 104 132 134 174 176 204 206 240 242	210381606450
SPT(16)	2502370914515438437	0 22 42 72 132 150 184 190 246 252 286 304 364 394 414 436	246580674110
STPT(10)	2502371244098249141	0 2 36 38 78 80 120 122 156 158	576163484814
STPT(10)	2502371571196746617	0 2 30 32 42 44 54 56 84 86	903261982290
SPT(18)	2502371631922907713	0 16 24 90 118 160 174 198 238 246 286 310 324 366 394 460 468 484	963988143386