Prime p₀= 764290720641365999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 136 2 226 2 22 2 (?)
a_n: 0 2 72 74 90 92 102 104 240 242 468 470 492 494
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: 494
Found by: [SG]steini
db: batch=73, k=14, 70 16 10 136 226 22

SPT(16)	764288665320328033	0 18 28 40 64 84 124 130 138 144 184 204 228 240 250 268	-2055321037966
STPT(10)	764288728615470557	0 2 30 32 72 74 114 116 144 146	-1992025895442
SPT(16)	764288886135615109	0 40 42 64 70 100 120 132 190 202 222 252 258 280 282 322	-1834505750890
TPT(14)	764289376827027209	0 2 30 32 42 44 90 92 168 170 240 242 252 254	-1343814338790
STPT(10)	764289752231259011	0 2 6 8 18 20 30 32 36 38	-968410106988
STPT(10)	764289987375998009	0 2 12 14 90 92 168 170 180 182	-733265367990
STPT(10)	764291181192577859	0 2 18 20 30 32 42 44 60 62	460551211860
SPT(16)	764291309471547371	0 12 20 42 78 86 92 98 120 126 132 140 176 198 206 218	588830181372
SPT(18)	764291321341103407	0 4 34 42 64 82 90 112 132 244 264 286 294 312 334 342 372 376	600699737408
STPT(10)	764291479092343721	0 2 30 32 78 80 126 128 156 158	758450977722
STPT(10)	764291577442444547	0 2 12 14 42 44 72 74 84 86	856801078548