Prime p₀= 2907025813574652347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 28 2 118 2 16 2 70 2 (?)
a_n: 0 2 54 56 114 116 144 146 264 266 282 284 354 356
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: 356
Found by: Landjunge
db: batch=82, k=14, 52 58 28 118 16 70

STPT(10)	2907023914128449651	0 2 6 8 48 50 90 92 96 98	-1899446202696
SPT(16)	2907024189032723521	0 6 60 112 180 208 282 310 378 406 480 508 576 628 682 688	-1624541928826
STPT(10)	2907024341871120179	0 2 42 44 60 62 78 80 120 122	-1471703532168
STPT(12)	2907024909337087967	0 2 30 32 42 44 72 74 84 86 114 116	-904237564380
SPT(16)	2907025704010207319	0 2 12 24 30 44 60 72 80 92 108 122 128 140 150 152	-109564445028
STPT(10)	2907025768896359021	0 2 6 8 18 20 30 32 36 38	-44678293326
SPT(16)	2907026251770869377	0 112 132 154 156 160 210 256 270 316 366 370 372 394 414 526	438196217030
SPT(16)	2907026307483619693	0 16 40 60 64 100 126 154 180 208 234 270 274 294 318 334	493908967346
STPT(10)	2907026691826434179	0 2 30 32 60 62 90 92 120 122	878251781832
SPT(16)	2907026885262751333	0 24 70 76 88 96 136 150 154 168 208 216 228 234 280 304	1071688098986
STPT(10)	2907027289727778947	0 2 30 32 72 74 114 116 144 146	1476153126600