Prime p₀= 2453691209603183399 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 34 2 22 2 58 2 (?)
a_n: 0 2 90 92 108 110 132 134 168 170 192 194 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 88 16 22 34 22 58

SPT(16)	2453688271908860243	0 48 56 66 78 104 138 140 174 176 210 236 248 258 266 314	-2937694323156
STPT(10)	2453689509770941157	0 2 60 62 72 74 84 86 144 146	-1699832242242
STPT(10)	2453690123220549089	0 2 30 32 60 62 90 92 120 122	-1086382634310
STPT(10)	2453690219715042071	0 2 30 32 78 80 126 128 156 158	-989888141328
SPT(16)	2453690750915978809	0 4 48 54 72 82 144 148 264 268 330 340 358 364 408 412	-458687204590
SPT(16)	2453690913478598459	0 2 18 42 78 98 162 180 182 200 264 284 320 344 360 362	-296124584940
SPT(16)	2453691560704731133	0 48 78 156 178 180 210 216 268 274 304 306 328 406 436 484	351101547734
TPT(14)	2453691901968169547	0 2 12 14 24 26 84 86 144 146 192 194 222 224	692364986148
SPT(16)	2453692136968168507	0 4 12 82 112 196 220 222 244 246 270 354 384 454 462 466	927364985108
SPT(16)	2453692437814747313	0 60 66 74 86 90 104 114 200 210 224 228 240 248 254 314	1228211563914
SPT(16)	2453692710245138933	0 6 68 110 128 138 146 204 230 288 296 306 324 366 428 434	1500641955534