Prime p₀= 2623252091759754029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 16 2 88 2 88 2 10 2 (?)
a_n: 0 2 108 110 180 182 198 200 288 290 378 380 390 392
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: 392
Found by: RFGuy_KCCO
db: batch=82, k=14, 106 70 16 88 88 10

SPT(16)	2623250673213973961	0 2 8 56 96 162 168 176 222 230 236 302 342 390 396 398	-1418545780068
SPT(16)	2623251521343023023	0 6 10 24 66 96 126 136 168 178 208 238 280 294 298 304	-570416731006
STPT(10)	2623251703168667297	0 2 24 26 42 44 60 62 84 86	-388591086732
STPT(10)	2623251988470130229	0 2 18 20 60 62 102 104 120 122	-103289623800
SPT(16)	2623252067457373663	0 24 34 64 70 94 114 174 226 286 306 330 336 366 376 400	-24302380366
STPT(10)	2623252072695179831	0 2 6 8 48 50 90 92 96 98	-19064574198
SPT(16)	2623252451787964889	0 14 32 92 104 110 114 144 170 200 204 210 222 282 300 314	360028210860
STPT(10)	2623252589021308817	0 2 42 44 72 74 102 104 144 146	497261554788
TPT(14)	2623252710369896249	0 2 30 32 72 74 78 80 108 110 150 152 240 242	618610142220
SPT(16)	2623253014468518307	0 24 40 84 144 156 204 226 234 256 304 316 376 420 436 460	922708764278
SPT(16)	2623253181574550029	0 40 102 112 124 138 148 162 190 204 214 228 240 250 312 352	1089814796000