Prime p₀= 2539749546435862181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 22 2 28 2 16 2 130 2 76 2 (?)
a_n: 0 2 126 128 150 152 180 182 198 200 330 332 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 124 22 28 16 130 76

STPT(10)	2539747441461974501	0 2 6 8 18 20 30 32 36 38	-2104973887680
SPT(16)	2539747458214063367	0 2 12 26 32 56 134 144 152 162 240 264 270 284 294 296	-2088221798814
STPT(12)	2539747942675114151	0 2 78 80 120 122 156 158 198 200 276 278	-1603760748030
SPT(16)	2539747985887252073	0 8 14 36 50 110 138 140 204 206 234 294 308 330 336 344	-1560548610108
TPT(14)	2539749529991362187	0 2 72 74 114 116 120 122 144 146 204 206 210 212	-16444499994
SPT(16)	2539749531069067591	0 36 58 72 130 162 180 192 226 238 256 288 346 360 382 418	-15366794590
TPT(14)	2539749911684944991	0 2 6 8 60 62 90 92 156 158 168 170 198 200	365249082810
TPT(14)	2539750197546071567	0 2 120 122 204 206 210 212 222 224 234 236 252 254	651110209386
STPT(10)	2539750998179259131	0 2 36 38 78 80 120 122 156 158	1451743396950
SPT(16)	2539751616145284731	0 26 66 72 158 210 308 332 396 420 518 570 656 662 702 728	2069709422550
STPT(10)	2539751753808926021	0 2 30 32 78 80 126 128 156 158	2207373063840