Prime p₀= 1268594729908378181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 10 2 10 2 4 2 22 2 (?)
a_n: 0 2 78 80 126 128 138 140 150 152 156 158 180 182
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: 182
Found by: Megacruncher
db: batch=77, k=14, 76 46 10 10 4 22

STPT(10)	1268593442573708087	0 2 12 14 72 74 132 134 144 146	-1287334670094
SPT(16)	1268593588918581169	0 18 48 70 82 114 124 168 184 228 238 270 282 304 334 352	-1140989797012
SPT(18)	1268593592223420797	0 6 20 26 116 132 164 192 206 210 224 252 284 300 390 396 410 416	-1137684957384
SPT(16)	1268593863867033227	0 14 24 54 60 80 102 116 150 164 186 206 212 242 252 266	-866041344954
STPT(10)	1268594094427802027	0 2 54 56 72 74 90 92 144 146	-635480576154
STPT(10)	1268594406550695617	0 2 30 32 42 44 54 56 84 86	-323357682564
STPT(10)	1268594908420872377	0 2 72 74 102 104 132 134 204 206	178512494196
STPT(10)	1268595084905471987	0 2 42 44 72 74 102 104 144 146	354997093806
STPT(10)	1268595124223861279	0 2 18 20 30 32 42 44 60 62	394315483098
STPT(10)	1268595409107963017	0 2 54 56 72 74 90 92 144 146	679199584836
SPT(16)	1268595524594815049	0 2 8 14 50 54 72 90 92 110 128 132 168 174 180 182	794686436868