Prime p₀= 2730256052600379131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 58 2 178 2 40 2 4 2 (?)
a_n: 0 2 36 38 48 50 108 110 288 290 330 332 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 34 10 58 178 40 4

TPT(14)	2730254385182085719	0 2 12 14 102 104 168 170 192 194 198 200 312 314	-1667418293412
SPT(16)	2730254421793524163	0 6 40 84 94 130 174 196 198 220 264 300 310 354 388 394	-1630806854968
STPT(10)	2730254493561546737	0 2 30 32 60 62 90 92 120 122	-1559038832394
SPT(16)	2730254705844947279	0 48 78 92 102 110 152 162 290 300 342 350 360 374 404 452	-1346755431852
SPT(16)	2730255285171799093	0 30 36 88 106 118 126 150 154 178 186 198 216 268 274 304	-767428580038
SPT(16)	2730255804480925883	0 26 84 108 116 156 164 200 204 240 248 288 296 320 378 404	-248119453248
SPT(16)	2730256587925776431	0 12 26 90 92 126 132 170 228 266 272 306 308 372 386 398	535325397300
SPT(16)	2730256609261502459	0 92 108 138 152 158 162 182 288 308 312 318 332 362 378 470	556661123328
STPT(10)	2730256657233162179	0 2 48 50 90 92 132 134 180 182	604632783048
TPT(14)	2730256735228297589	0 2 18 20 30 32 72 74 138 140 150 152 210 212	682627918458
SPT(16)	2730256825083213677	0 30 42 44 72 104 110 114 140 144 150 182 210 212 224 254	772482834546