Prime p₀= 2451646395374532371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 100 2 34 2 28 2 (?)
a_n: 0 2 36 38 66 68 108 110 210 212 246 248 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 34 28 40 100 34 28

STPT(10)	2451645380966294801	0 2 36 38 78 80 120 122 156 158	-1014408237570
SPT(18)	2451645403727906459	0 42 134 152 170 198 230 260 288 314 342 372 404 432 450 468 560 602	-991646625912
SPT(16)	2451645521502988379	0 8 18 44 78 84 104 114 134 144 164 170 204 230 240 248	-873871543992
STPT(10)	2451645563085594719	0 2 18 20 30 32 42 44 60 62	-832288937652
SPT(16)	2451645923147425619	0 14 30 62 72 90 102 150 164 212 224 242 252 284 300 314	-472227106752
STPT(10)	2451646167204712337	0 2 30 32 72 74 114 116 144 146	-228169820034
STPT(10)	2451646468627555679	0 2 18 20 30 32 42 44 60 62	73253023308
STPT(10)	2451647246557392617	0 2 30 32 42 44 54 56 84 86	851182860246
STPT(10)	2451647431225252847	0 2 30 32 72 74 114 116 144 146	1035850720476
SPT(16)	2451647984960657941	0 16 58 82 120 150 160 162 196 198 208 238 276 300 342 358	1589586125570
SPT(16)	2451648402608216909	0 42 54 62 104 128 132 144 278 290 294 318 360 368 380 422	2007233684538