Prime p₀= 2531177798768897651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 64 2 28 2 40 2 16 2 (?)
a_n: 0 2 36 38 60 62 126 128 156 158 198 200 216 218
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: 218
Found by: samuraiii
db: batch=82, k=14, 34 22 64 28 40 16

SPT(16)	2531176126687602941	0 26 68 72 78 86 96 120 128 152 162 170 176 180 222 248	-1672081294710
STPT(12)	2531176263965692877	0 2 30 32 42 44 162 164 174 176 204 206	-1534803204774
STPT(10)	2531176546620653201	0 2 6 8 48 50 90 92 96 98	-1252148244450
SPT(16)	2531176705346816507	0 2 32 50 54 56 92 102 134 144 180 182 186 204 234 236	-1093422081144
TPT(14)	2531177075076951209	0 2 30 32 60 62 102 104 138 140 318 320 360 362	-723691946442
STPT(10)	2531177086408534337	0 2 12 14 72 74 132 134 144 146	-712360363314
TPT(14)	2531177806306483487	0 2 24 26 60 62 84 86 114 116 180 182 282 284	7537585836
STPT(10)	2531178270210634799	0 2 18 20 30 32 42 44 60 62	471441737148
TPT(14)	2531178274292600057	0 2 72 74 102 104 144 146 180 182 234 236 264 266	475523702406
STPT(10)	2531178311658466241	0 2 36 38 78 80 120 122 156 158	512889568590
STPT(10)	2531178872498854577	0 2 24 26 42 44 60 62 84 86	1073729956926