Prime p₀= 2561915655445069661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 88 2 76 2 46 2 40 2 (?)
a_n: 0 2 78 80 90 92 180 182 258 260 306 308 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 10 88 76 46 40

SPT(16)	2561914708161679691	0 2 8 42 98 108 140 150 218 228 260 270 326 360 366 368	-947283389970
TPT(14)	2561914809820846559	0 2 72 74 78 80 102 104 120 122 162 164 198 200	-845624223102
SPT(16)	2561914817030147731	0 6 12 18 48 52 126 136 162 172 246 250 280 286 292 298	-838414921930
TPT(16)	2561915048579350547	0 2 264 266 270 272 312 314 444 446 480 482 492 494 504 506	-606865719114
STPT(10)	2561915063330790197	0 2 30 32 60 62 90 92 120 122	-592114279464
STPT(10)	2561915200424800679	0 2 18 20 30 32 42 44 60 62	-455020268982
STPT(10)	2561915734392928091	0 2 6 8 48 50 90 92 96 98	78947858430
SPT(16)	2561915954550283697	0 20 44 66 72 86 104 120 176 192 210 224 230 252 276 296	299105214036
SPT(16)	2561916134222644103	0 50 114 120 150 176 210 224 270 284 318 344 374 380 444 494	478777574442
TPT(14)	2561916481038143237	0 2 24 26 54 56 114 116 162 164 180 182 264 266	825593073576
SPT(16)	2561917358442063059	0 12 14 32 44 110 158 198 284 324 372 438 450 468 470 482	1702996993398