Prime p₀= 1265379486514501361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 10 2 94 2 40 2 58 2 (?)
a_n: 0 2 126 128 168 170 180 182 276 278 318 320 378 380
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: 380
Found by: Theadalus
db: batch=77, k=14, 124 40 10 94 40 58

STPT(10)	1265378063606442131	0 2 90 92 150 152 210 212 300 302	-1422908059230
SPT(16)	1265378315355872461	0 28 30 52 90 130 160 168 220 228 258 298 336 358 360 388	-1171158628900
SPT(18)	1265378338362498359	0 20 24 42 80 102 104 132 158 174 200 228 230 252 290 308 312 332	-1148152003002
SPT(16)	1265378429979226669	0 22 42 100 108 148 204 238 264 298 354 394 402 460 480 502	-1056535274692
SPT(16)	1265379193982439953	0 20 68 96 98 126 128 146 180 198 200 228 230 258 306 326	-292532061408
SPT(16)	1265379348217071977	0 32 74 80 86 96 180 194 252 266 350 360 366 372 414 446	-138297429384
STPT(10)	1265379782178190709	0 2 18 20 30 32 42 44 60 62	295663689348
TPT(14)	1265379899223069401	0 2 30 32 90 92 120 122 156 158 198 200 270 272	412708568040
SPT(16)	1265379917359929967	0 30 60 82 120 126 156 172 204 220 250 256 294 316 346 376	430845428606
SPT(16)	1265379945772265593	0 6 28 54 58 64 70 76 168 174 180 186 190 216 238 244	459257764232
SPT(16)	1265379946616394197	0 2 12 30 56 114 116 140 156 180 182 240 266 284 294 296	460101892836