Prime p₀= 2396051904729498929 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 70 2 46 2 28 2 40 2 (?)
a_n: 0 2 12 14 18 20 90 92 138 140 168 170 210 212
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: 212
Found by: Fialaalf
db: batch=81, k=14, 10 4 70 46 28 40

SPT(16)	2396051193794530847	0 2 26 54 60 66 72 80 156 164 170 176 182 210 234 236	-710934968082
STPT(10)	2396051463428917667	0 2 42 44 102 104 162 164 204 206	-441300581262
STPT(10)	2396051586916625159	0 2 18 20 30 32 42 44 60 62	-317812873770
STPT(10)	2396051650637031461	0 2 6 8 48 50 90 92 96 98	-254092467468
SPT(18)	2396051740036946777	0 30 66 80 92 132 140 146 170 252 276 282 290 330 342 356 392 422	-164692552152
SPT(16)	2396051842043588059	0 18 24 30 34 70 78 88 90 100 108 144 148 154 160 178	-62685910870
SPT(16)	2396052321781667377	0 6 30 52 64 66 72 112 114 154 160 162 174 196 220 226	417052168448
SPT(16)	2396052401835426029	0 12 20 24 80 108 122 132 170 180 194 222 278 282 290 302	497105927100
STPT(10)	2396052545748717587	0 2 30 32 42 44 54 56 84 86	641019218658
STPT(10)	2396052720813687497	0 2 42 44 72 74 102 104 144 146	816084188568
SPT(16)	2396053408115672761	0 16 18 30 46 52 78 88 120 130 156 162 178 190 192 208	1503386173832