Prime p₀= 2501533127466410117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 76 2 16 2 220 2 46 2 (?)
a_n: 0 2 12 14 54 56 132 134 150 152 372 374 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 10 40 76 16 220 46

SPT(16)	2501532016503159817	0 6 30 46 52 72 102 112 150 160 190 210 216 232 256 262	-1110963250300
STPT(10)	2501532570798953519	0 2 42 44 60 62 78 80 120 122	-556667456598
STPT(10)	2501532706459862849	0 2 12 14 90 92 168 170 180 182	-421006547268
STPT(10)	2501532730854437141	0 2 36 38 78 80 120 122 156 158	-396611972976
SPT(16)	2501532805305019961	0 26 80 90 116 122 128 156 182 210 216 222 248 258 312 338	-322161390156
STPT(10)	2501532991969900781	0 2 6 8 48 50 90 92 96 98	-135496509336
STPT(10)	2501533353403470509	0 2 12 14 30 32 48 50 60 62	225937060392
SPT(16)	2501533416808245073	0 16 30 36 64 88 126 148 276 298 336 360 388 394 408 424	289341834956
STPT(10)	2501533669991693807	0 2 30 32 42 44 54 56 84 86	542525283690
SPT(16)	2501533739901087319	0 4 10 30 72 84 88 142 150 204 208 220 262 282 288 292	612434677202
SPT(16)	2501533953955800941	0 56 80 90 146 156 170 182 300 312 326 336 392 402 426 482	826489390824