Prime p₀= 2499335448154499819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 28 2 94 2 22 2 94 2 (?)
a_n: 0 2 18 20 102 104 132 134 228 230 252 254 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 16 82 28 94 22 94

SPT(16)	2499334431099221141	0 32 62 96 110 156 170 186 236 252 266 312 326 360 390 422	-1017055278678
TPT(14)	2499334432460631641	0 2 30 32 78 80 108 110 198 200 210 212 330 332	-1015693868178
STPT(10)	2499334628143155701	0 2 96 98 108 110 120 122 216 218	-820011344118
STPT(10)	2499334738310318021	0 2 36 38 78 80 120 122 156 158	-709844181798
SPT(16)	2499334810119780839	0 50 72 84 104 114 122 138 164 180 188 198 218 230 252 302	-638034718980
STPT(10)	2499334829226135137	0 2 30 32 42 44 54 56 84 86	-618928364682
SPT(16)	2499335673029543669	0 2 12 60 68 72 90 98 102 110 128 132 140 188 198 200	224875043850
STPT(10)	2499336058843295387	0 2 60 62 72 74 84 86 144 146	610688795568
SPT(16)	2499336153098819483	0 30 44 54 74 98 128 170 234 276 306 330 350 360 374 404	704944319664
SPT(16)	2499336258932017819	0 10 12 30 34 42 48 52 90 94 100 108 112 130 132 142	810777518000
SPT(16)	2499336683896056709	0 42 90 144 150 160 178 204 328 354 372 382 388 442 490 532	1235741556890