Prime p₀= 2338712539866463547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 130 2 28 2 16 2 (?)
a_n: 0 2 12 14 24 26 42 44 174 176 204 206 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 10 10 16 130 28 16

STPT(10)	2338710394646489597	0 2 30 32 42 44 54 56 84 86	-2145219973950
STPT(10)	2338710566971910141	0 2 6 8 48 50 90 92 96 98	-1972894553406
SPT(16)	2338710622956856901	0 2 8 12 48 68 78 90 98 110 120 140 176 180 186 188	-1916909606646
SPT(16)	2338710675655032373	0 6 10 18 24 34 60 90 154 184 210 220 226 234 238 244	-1864211431174
SPT(16)	2338711199849822657	0 14 66 74 80 90 96 144 146 194 200 210 216 224 276 290	-1340016640890
SPT(16)	2338711617824380763	0 24 26 60 66 68 86 96 128 138 156 158 164 198 200 224	-922042082784
SPT(16)	2338712629765803119	0 50 54 72 90 114 152 162 182 192 230 254 272 290 294 344	89899339572
SPT(16)	2338713215033003261	0 8 48 60 68 98 126 140 186 200 228 258 266 278 318 326	675166539714
SPT(16)	2338713250384737509	0 2 30 38 114 132 140 182 240 282 290 308 384 392 420 422	710518273962
STPT(10)	2338713478318901867	0 2 30 32 42 44 54 56 84 86	938452438320
STPT(10)	2338713808713821489	0 2 18 20 30 32 42 44 60 62	1268847357942