Prime p₀= 2761467772346969459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 106 2 10 2 40 2 (?)
a_n: 0 2 12 14 42 44 90 92 198 200 210 212 252 254
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: [SG-FC] hl
db: batch=82, k=14, 10 28 46 106 10 40

SPT(16)	2761466662034043023	0 26 36 56 78 84 180 186 218 224 320 326 348 368 378 404	-1110312926436
SPT(16)	2761466671469224247	0 6 26 60 74 90 140 156 284 300 350 366 380 414 434 440	-1100877745212
SPT(16)	2761466824892399777	0 6 96 126 132 150 182 200 222 240 272 290 296 326 416 422	-947454569682
SPT(16)	2761467238922232143	0 8 14 18 30 56 98 128 156 186 228 254 266 270 276 284	-533424737316
SPT(16)	2761467472037479133	0 60 96 104 144 146 180 186 218 224 258 260 300 308 344 404	-300309490326
SPT(16)	2761467476720331521	0 30 86 90 146 150 186 218 240 272 308 312 368 372 428 458	-295626637938
STPT(10)	2761468109963600627	0 2 30 32 102 104 174 176 204 206	337616631168
STPT(10)	2761468467917564231	0 2 30 32 78 80 126 128 156 158	695570594772
SPT(16)	2761469064945976193	0 20 30 48 78 110 156 176 180 200 246 278 308 326 336 356	1292599006734
STPT(10)	2761469104881519257	0 2 30 32 42 44 54 56 84 86	1332534549798
STPT(10)	2761469271307432529	0 2 18 20 30 32 42 44 60 62	1498960463070