Prime p₀= 912277285029873617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 10 2 94 2 82 2 16 2 (?)
a_n: 0 2 30 32 72 74 84 86 180 182 264 266 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 28 40 10 94 82 16

SPT(16)	912276230093304919	0 10 24 34 58 148 154 162 190 198 204 294 318 328 342 352	-1054936568698
SPT(16)	912276264344710477	0 16 42 46 60 66 106 144 202 240 280 286 300 304 330 346	-1020685163140
SPT(16)	912276294309605857	0 42 60 102 106 120 144 154 162 172 196 210 214 256 274 316	-990720267760
STPT(10)	912276307266890771	0 2 6 8 18 20 30 32 36 38	-977762982846
STPT(10)	912276313461035189	0 2 18 20 30 32 42 44 60 62	-971568838428
SPT(16)	912276424164321323	0 66 90 128 188 198 210 248 276 314 326 336 396 434 458 524	-860865552294
STPT(10)	912277430811451889	0 2 18 20 30 32 42 44 60 62	145781578272
SPT(16)	912277557740703631	0 42 46 66 78 100 130 166 252 288 318 340 352 372 376 418	272710830014
SPT(16)	912277580545865357	0 24 42 110 152 192 230 246 290 306 344 384 426 494 512 536	295515991740
STPT(10)	912277840331912147	0 2 30 32 60 62 90 92 120 122	555302038530
SPT(16)	912278194727372981	0 36 72 138 140 170 182 188 210 216 228 258 260 326 362 398	909697499364