Prime p₀= 978949152943792607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 16 2 112 2 76 2 88 2 (?)
a_n: 0 2 42 44 132 134 150 152 264 266 342 344 432 434
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: 434
Found by: Gumbo
db: batch=76, k=14, 40 88 16 112 76 88

SPT(16)	978948021509393513	0 36 44 48 68 74 120 156 158 194 240 246 266 270 278 314	-1131434399094
SPT(16)	978948039976948117	0 10 24 52 114 130 202 214 222 234 306 322 384 412 426 436	-1112966844490
SPT(16)	978948237379378069	0 30 40 60 94 108 160 174 178 192 244 258 292 312 322 352	-915564414538
SPT(16)	978948389757876817	0 6 130 136 142 144 174 210 286 322 352 354 360 366 490 496	-763185915790
SPT(16)	978948506675014703	0 6 48 50 90 168 188 204 260 276 296 374 414 416 458 464	-646268777904
SPT(16)	978948859758539921	0 26 42 72 132 168 212 272 276 336 380 416 476 506 522 548	-293185252686
SPT(16)	978949216805108303	0 6 56 68 144 200 210 228 236 254 264 320 396 408 458 464	63861315696
SPT(16)	978949219072329227	0 2 24 62 66 86 90 92 114 116 120 140 144 182 204 206	66128536620
STPT(10)	978949442705077367	0 2 30 32 42 44 54 56 84 86	289761284760
SPT(16)	978949449196041439	0 84 88 154 168 174 180 190 312 322 328 334 348 414 418 502	296252248832
STPT(10)	978949475802720137	0 2 60 62 72 74 84 86 144 146	322858927530