Prime p₀= 1295709246219467237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 10 2 76 2 10 2 (?)
a_n: 0 2 12 14 30 32 42 44 54 56 132 134 144 146
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: 146
Found by: Cruncher Pete
db: batch=77, k=14, 10 16 10 10 76 10

TPT(14)	1295708068334182157	0 2 30 32 54 56 90 92 114 116 132 134 144 146	-1177885285080
STPT(10)	1295708298457355747	0 2 30 32 42 44 54 56 84 86	-947762111490
SPT(16)	1295708364434150497	0 46 64 90 94 162 172 174 232 234 244 312 316 342 360 406	-881785316740
STPT(12)	1295708521025809277	0 2 30 32 72 74 90 92 132 134 162 164	-725193657960
SPT(16)	1295709092023706513	0 80 90 108 150 180 200 230 234 264 284 314 356 374 384 464	-154195760724
TPT(14)	1295709233494414577	0 2 12 14 60 62 102 104 144 146 150 152 180 182	-12725052660
SPT(16)	1295709401610090911	0 12 20 26 80 90 96 120 278 302 308 318 372 378 386 398	155390623674
STPT(10)	1295709490811688761	0 2 6 8 48 50 90 92 96 98	244592221524
TPT(14)	1295709643466727911	0 2 6 8 30 32 78 80 90 92 120 122 156 158	397247260674
SPT(16)	1295709897890352467	0 20 74 80 162 164 194 204 290 300 330 332 414 420 474 494	651670885230
SPT(16)	1295709948100160093	0 50 56 74 78 96 114 120 134 140 158 176 180 198 204 254	701880692856