Prime p₀= 2313523244576666789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 148 2 58 2 28 2 40 2 (?)
a_n: 0 2 42 44 60 62 210 212 270 272 300 302 342 344
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: 344
Found by: Drago75
db: batch=81, k=14, 40 16 148 58 28 40

SPT(16)	2313521376454517731	0 12 22 42 66 88 102 130 168 196 210 232 256 276 286 298	-1868122149058
SPT(16)	2313521415412544567	0 6 32 42 66 74 80 90 116 126 132 140 164 174 200 206	-1829164122222
STPT(10)	2313521620785563759	0 2 18 20 30 32 42 44 60 62	-1623791103030
TPT(14)	2313522261301339511	0 2 90 92 210 212 216 218 276 278 300 302 348 350	-983275327278
TPT(14)	2313522334999095629	0 2 48 50 78 80 90 92 162 164 192 194 222 224	-909577571160
STPT(10)	2313522373818299459	0 2 12 14 30 32 48 50 60 62	-870758367330
SPT(16)	2313523288729298027	0 12 62 92 104 110 126 132 134 140 156 162 174 204 254 266	44152631238
TPT(14)	2313523369619564519	0 2 48 50 72 74 138 140 198 200 240 242 258 260	125042897730
SPT(16)	2313523811450388869	0 8 12 38 78 80 140 212 258 330 390 392 432 458 462 470	566873722080
STPT(10)	2313523824771711437	0 2 30 32 42 44 54 56 84 86	580195044648
SPT(16)	2313524150647848473	0 20 24 44 90 96 98 110 144 156 158 164 210 230 234 254	906071181684