Prime p₀= 2375258918496563039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 76 2 10 2 64 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 222 224 288 290
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: 290
Found by: Landjunge
db: batch=81, k=14, 40 76 10 76 10 64

STPT(10)	2375257652493485531	0 2 36 38 78 80 120 122 156 158	-1266003077508
SPT(16)	2375257757746184459	0 2 24 38 54 78 128 168 194 234 284 308 324 338 360 362	-1160750378580
SPT(16)	2375257833326094671	0 6 36 48 56 96 110 140 168 198 212 252 260 272 302 308	-1085170468368
STPT(10)	2375258422308938987	0 2 60 62 72 74 84 86 144 146	-496187624052
SPT(16)	2375258564757993133	0 16 24 58 70 114 120 136 258 274 280 324 336 370 378 394	-353738569906
SPT(16)	2375258762684126723	0 50 54 66 98 110 138 140 174 176 204 216 248 260 264 314	-155812436316
STPT(10)	2375259243649371851	0 2 30 32 78 80 126 128 156 158	325152808812
TPT(14)	2375259628567612091	0 2 30 32 48 50 60 62 90 92 186 188 216 218	710071049052
STPT(10)	2375259943161887141	0 2 6 8 48 50 90 92 96 98	1024665324102
TPT(14)	2375260017043363859	0 2 48 50 162 164 258 260 288 290 342 344 402 404	1098546800820
SPT(16)	2375260312910207147	0 50 144 152 162 174 182 242 294 354 362 374 384 392 486 536	1394413644108