Prime p₀= 1292142703493716409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 46 2 82 2 16 2 40 2 (?)
a_n: 0 2 30 32 60 62 108 110 192 194 210 212 252 254
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: 254
Found by: damotbe
db: batch=77, k=14, 28 28 46 82 16 40

STPT(10)	1292142141998545067	0 2 24 26 42 44 60 62 84 86	-561495171342
STPT(10)	1292142145369684949	0 2 18 20 30 32 42 44 60 62	-558124031460
SPT(16)	1292142269843627047	0 16 40 46 60 70 112 172 180 240 282 292 306 312 336 352	-433650089362
STPT(10)	1292142385127153981	0 2 36 38 78 80 120 122 156 158	-318366562428
SPT(16)	1292142451341601687	0 16 34 70 76 84 114 156 190 232 262 270 276 312 330 346	-252152114722
STPT(12)	1292142641674320101	0 2 30 32 96 98 180 182 246 248 276 278	-61819396308
SPT(16)	1292142855605728109	0 8 60 62 78 90 110 140 180 210 230 242 258 260 312 320	152112011700
SPT(16)	1292143179377915071	0 30 42 70 72 88 126 138 160 172 210 226 228 256 268 298	475884198662
STPT(10)	1292143265000485367	0 2 30 32 42 44 54 56 84 86	561506768958
SPT(16)	1292143421208285619	0 10 22 42 58 64 70 84 88 102 108 114 130 150 162 172	717714569210
SPT(13)	1292143757735264641	0 30 42 72 78 102 120 138 162 168 198 210 240	1054241548232