Prime p₀= 1292414159421795689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 88 2 22 2 136 2 16 2 (?)
a_n: 0 2 42 44 108 110 198 200 222 224 360 362 378 380
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: 380
Found by: Theadalus
db: batch=77, k=14, 40 64 88 22 136 16

SPT(16)	1292412306464979229	0 24 34 52 60 84 162 228 304 370 448 472 480 498 508 532	-1852956816460
SPT(16)	1292412684312799741	0 16 70 76 102 180 198 252 256 310 328 406 432 438 492 508	-1475108995948
STPT(10)	1292412959332286159	0 2 18 20 30 32 42 44 60 62	-1200089509530
SPT(16)	1292413331991660017	0 20 24 42 60 62 102 122 174 194 234 236 254 272 276 296	-827430135672
SPT(16)	1292413426058051573	0 20 30 68 80 90 96 104 240 248 254 264 276 314 324 344	-733363744116
SPT(16)	1292413440506253199	0 12 28 70 88 94 112 124 198 210 228 234 252 294 310 322	-718915542490
SPT(16)	1292414412441661493	0 14 56 90 108 110 164 194 300 330 384 386 404 438 480 494	253019865804
TPT(14)	1292414464707319487	0 2 30 32 72 74 132 134 144 146 162 164 174 176	305285523798
TPT(14)	1292414855652972659	0 2 60 62 102 104 180 182 210 212 240 242 318 320	696231176970
STPT(10)	1292414855652972761	0 2 78 80 108 110 138 140 216 218	696231177072
STPT(10)	1292414892317990711	0 2 6 8 48 50 90 92 96 98	732896195022