Prime p₀= 1272714900599246441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 40 2 46 2 40 2 118 2 (?)
a_n: 0 2 36 38 108 110 150 152 198 200 240 242 360 362
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: 362
Found by: Theadalus
db: batch=77, k=14, 34 70 40 46 40 118

SPT(16)	1272713196484679567	0 14 56 66 80 104 120 134 246 260 276 300 314 324 366 380	-1704114566874
SPT(16)	1272713207277711889	0 30 42 60 72 78 82 148 162 228 232 238 250 268 280 310	-1693321534552
SPT(16)	1272713427579326191	0 16 30 78 112 132 142 148 180 186 196 216 250 298 312 328	-1473019920250
STPT(10)	1272713546140064129	0 2 48 50 90 92 132 134 180 182	-1354459182312
STPT(10)	1272713677515823601	0 2 36 38 78 80 120 122 156 158	-1223083422840
SPT(18)	1272714370723665707	0 12 14 66 90 102 120 122 140 186 204 206 224 236 260 312 314 326	-529875580734
SPT(16)	1272715236002886679	0 48 64 72 78 168 180 220 222 262 274 364 370 378 394 442	335403640238
SPT(16)	1272715667927326027	0 4 6 34 54 94 126 150 196 220 252 292 312 340 342 346	767328079586
SPT(16)	1272715892235467551	0 22 40 76 82 106 126 202 216 292 312 336 342 378 396 418	991636221110
SPT(20)	1272716126053506751	0 16 22 52 96 102 108 232 282 298 330 346 396 520 526 532 576 606 612 628	1225454260310
TPT(14)	1272716224668336821	0 2 18 20 90 92 168 170 198 200 228 230 246 248	1324069090380