Prime p₀= 1521055477993332971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 148 2 76 2 76 2 58 2 22 2 (?)
a_n: 0 2 30 32 180 182 258 260 336 338 396 398 420 422
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: 422
Found by: crashtech
db: batch=78, k=14, 28 148 76 76 58 22

STPT(10)	1521054867498526439	0 2 48 50 60 62 72 74 120 122	-610494806532
SPT(16)	1521054893673981271	0 16 46 60 78 90 132 138 190 196 238 250 268 282 312 328	-584319351700
SPT(16)	1521055017150434893	0 36 40 64 70 78 108 150 154 196 226 234 240 264 268 304	-460842898078
STPT(10)	1521055163688949709	0 2 18 20 30 32 42 44 60 62	-314304383262
STPT(10)	1521055232808874949	0 2 18 20 30 32 42 44 60 62	-245184458022
STPT(10)	1521055290251947139	0 2 18 20 30 32 42 44 60 62	-187741385832
STPT(10)	1521055597320847727	0 2 12 14 42 44 72 74 84 86	119327514756
SPT(16)	1521055709162595517	0 42 52 136 150 172 202 256 300 354 384 406 420 504 514 556	231169262546
STPT(10)	1521056013970800407	0 2 60 62 72 74 84 86 144 146	535977467436
SPT(16)	1521056984101045619	0 8 18 48 50 72 74 114 158 198 200 222 224 254 264 272	1506107712648
SPT(16)	1521057788207362567	0 12 30 40 54 64 70 82 144 156 162 172 186 196 214 226	2310214029596