Prime p₀= 2591762112910843097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 52 2 106 2 28 2 10 2 (?)
a_n: 0 2 12 14 30 32 84 86 192 194 222 224 234 236
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: 236
Found by: JayPi
db: batch=82, k=14, 10 16 52 106 28 10

SPT(16)	2591760778490330509	0 12 34 52 60 72 108 142 210 244 280 292 300 318 340 352	-1334420512588
SPT(16)	2591760797066908087	0 10 12 36 40 106 124 126 130 132 150 216 220 244 246 256	-1315843935010
SPT(16)	2591760842390246983	0 18 24 30 36 70 78 84 130 136 144 178 184 190 196 214	-1270520596114
STPT(10)	2591761200331340027	0 2 12 14 72 74 132 134 144 146	-912579503070
STPT(10)	2591761427580391007	0 2 30 32 42 44 54 56 84 86	-685330452090
SPT(16)	2591761791717378187	0 40 90 124 130 166 186 216 244 274 294 330 336 370 420 460	-321193464910
SPT(16)	2591762174854829923	0 24 48 64 70 84 144 148 156 160 220 234 240 256 280 304	61943986826
SPT(16)	2591762505005424383	0 26 48 84 90 98 138 174 230 266 306 314 320 356 378 404	392094581286
SPT(16)	2591762818517236451	0 26 48 80 90 126 168 206 222 260 302 338 348 380 402 428	705606393354
STPT(10)	2591763129770563337	0 2 30 32 42 44 54 56 84 86	1016859720240
STPT(10)	2591763150834979907	0 2 30 32 60 62 90 92 120 122	1037924136810