Prime p₀= 1286457267474100151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 88 2 76 2 70 2 16 2 22 2 (?)
a_n: 0 2 48 50 138 140 216 218 288 290 306 308 330 332
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: 332
Found by: [SG-2W]Kurzer
db: batch=77, k=14, 46 88 76 70 16 22

STPT(10)	1286455285065706037	0 2 60 62 102 104 144 146 204 206	-1982408394114
SPT(16)	1286455408451931859	0 10 12 42 60 72 84 88 204 208 220 232 250 280 282 292	-1859022168292
STPT(10)	1286455442664821837	0 2 42 44 72 74 102 104 144 146	-1824809278314
SPT(16)	1286455916440806971	0 12 60 66 96 110 116 150 188 222 228 242 272 278 326 338	-1351033293180
SPT(16)	1286456252152757047	0 46 52 90 120 126 162 192 214 244 280 286 316 354 360 406	-1015321343104
TPT(14)	1286457117423037487	0 2 54 56 72 74 102 104 132 134 144 146 210 212	-150051062664
STPT(10)	1286457717049654337	0 2 24 26 42 44 60 62 84 86	449575554186
STPT(10)	1286457870009803597	0 2 30 32 42 44 54 56 84 86	602535703446
SPT(16)	1286458109080340657	0 14 32 54 90 114 200 222 314 336 422 446 482 504 522 536	841606240506
STPT(10)	1286458118839379039	0 2 138 140 180 182 222 224 360 362	851365278888
STPT(10)	1286458123913290421	0 2 36 38 78 80 120 122 156 158	856439190270