Prime p₀= 729472954481263079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 22 2 28 2 34 2 118 2 (?)
a_n: 0 2 138 140 168 170 192 194 222 224 258 260 378 380
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: crashtech
db: batch=73, k=14, 136 28 22 28 34 118

STPT(10)	729472189517175149	0 2 12 14 90 92 168 170 180 182	-764964087930
SPT(16)	729472429617623071	0 28 52 66 78 100 106 132 136 162 168 190 202 216 240 268	-524863640008
STPT(10)	729472616303718977	0 2 30 32 42 44 54 56 84 86	-338177544102
SPT(16)	729472739260338313	0 4 34 108 148 154 160 168 196 204 210 216 256 330 360 364	-215220924766
SPT(16)	729472786703762261	0 26 32 42 66 90 116 128 210 222 248 272 296 306 312 338	-167777500818
SPT(16)	729472866267544379	0 2 14 74 80 92 102 122 282 302 312 324 330 390 402 404	-88213718700
TPT(14)	729473000658179957	0 2 12 14 54 56 90 92 114 116 180 182 240 242	46176916878
SPT(16)	729473005065714661	0 10 36 52 126 156 160 162 190 192 196 226 300 316 342 352	50584451582
SPT(16)	729473307711292877	0 6 42 62 96 110 120 132 140 152 162 176 210 230 266 272	353230029798
STPT(10)	729473415738861767	0 2 30 32 120 122 210 212 240 242	461257598688
STPT(10)	729473442572614301	0 2 78 80 168 170 258 260 336 338	488091351222