Prime p₀= 2570402201380124471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 28 2 178 2 58 2 34 2 (?)
a_n: 0 2 48 50 120 122 150 152 330 332 390 392 426 428
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: 428
Found by: JayPi
db: batch=82, k=14, 46 70 28 178 58 34

STPT(10)	2570400708054311651	0 2 36 38 78 80 120 122 156 158	-1493325812820
STPT(10)	2570400906251660309	0 2 18 20 60 62 102 104 120 122	-1295128464162
STPT(10)	2570401671852865691	0 2 36 38 78 80 120 122 156 158	-529527258780
STPT(10)	2570401755568325057	0 2 30 32 42 44 54 56 84 86	-445811799414
STPT(10)	2570401926672254921	0 2 36 38 78 80 120 122 156 158	-274707869550
SPT(16)	2570401947924369529	0 48 78 94 144 148 192 252 280 340 384 388 438 454 484 532	-253455754942
STPT(10)	2570402400937329989	0 2 30 32 60 62 90 92 120 122	199557205518
SPT(16)	2570402509193318777	0 42 66 80 102 132 150 176 216 242 260 290 312 326 350 392	307813194306
STPT(10)	2570403156731456729	0 2 42 44 90 92 138 140 180 182	955351332258
TPT(14)	2570403166668845279	0 2 72 74 78 80 102 104 120 122 198 200 300 302	965288720808
SPT(16)	2570403195866873723	0 24 38 98 104 108 180 198 206 224 296 300 306 366 380 404	994486749252