Prime p₀= 2278732812931467131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 10 2 4 2 22 2 46 2 (?)
a_n: 0 2 66 68 108 110 120 122 126 128 150 152 198 200
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: 200
Found by: JayPi
db: batch=81, k=14, 64 40 10 4 22 46

SPT(16)	2278731837318171007	0 22 42 76 136 174 204 216 310 322 352 390 450 484 504 526	-975613296124
STPT(10)	2278731996175752587	0 2 30 32 42 44 54 56 84 86	-816755714544
SPT(16)	2278732114810548281	0 8 56 98 126 146 150 162 176 188 192 212 240 282 330 338	-698120918850
SPT(16)	2278732708926059777	0 2 30 32 44 62 110 114 182 186 234 252 264 266 294 296	-104005407354
STPT(10)	2278732803711542987	0 2 54 56 72 74 90 92 144 146	-9219924144
SPT(16)	2278732804514164571	0 56 60 86 122 188 200 248 300 348 360 426 462 488 492 548	-8417302560
SPT(16)	2278733107564672799	0 60 62 98 104 120 132 144 218 230 242 258 264 300 302 362	294633205668
STPT(10)	2278733175190477277	0 2 30 32 42 44 54 56 84 86	362259010146
SPT(16)	2278733208666391913	0 38 44 66 104 120 146 164 210 228 254 270 308 330 336 374	395734924782
SPT(16)	2278733412784665719	0 42 60 164 182 192 212 224 270 282 302 312 330 434 452 494	599853198588
SPT(16)	2278733413070289467	0 14 80 84 120 144 152 204 392 444 452 476 512 516 582 596	600138822336