Prime p₀= 2465244385618685327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 124 2 28 2 40 2 28 2 40 2 (?)
a_n: 0 2 24 26 150 152 180 182 222 224 252 254 294 296
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: 296
Found by: herby44
db: batch=82, k=14, 22 124 28 40 28 40

SPT(16)	2465241753632187637	0 4 42 60 64 136 172 204 262 294 330 402 406 424 462 466	-2631986497690
STPT(10)	2465242149389653679	0 2 42 44 90 92 138 140 180 182	-2236229031648
SPT(16)	2465242616488337617	0 22 40 42 72 130 142 222 280 360 372 430 460 462 480 502	-1769130347710
SPT(16)	2465242838917948759	0 40 90 124 132 148 168 192 220 244 264 280 288 322 372 412	-1546700736568
STPT(10)	2465243712579404969	0 2 42 44 60 62 78 80 120 122	-673039280358
SPT(16)	2465244114143486293	0 24 70 114 118 120 148 150 154 156 184 186 190 234 280 304	-271475199034
STPT(10)	2465244402472109519	0 2 48 50 60 62 72 74 120 122	16853424192
STPT(10)	2465244660630423977	0 2 84 86 132 134 180 182 264 266	275011738650
SPT(16)	2465245448175147629	0 24 50 138 192 200 234 242 270 278 312 320 374 462 488 512	1062556462302
SPT(16)	2465245646361974141	0 12 26 32 56 78 128 152 186 210 260 282 306 312 326 338	1260743288814
SPT(20)	2465245821208165577	0 72 74 114 152 180 182 194 204 212 252 260 270 282 284 312 350 390 392 464	1435589480250