Prime p₀= 2322134016829244417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 40 2 40 2 76 2 118 2 (?)
a_n: 0 2 42 44 90 92 132 134 174 176 252 254 372 374
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: 374
Found by: Groo
db: batch=81, k=14, 40 46 40 40 76 118

SPT(16)	2322132128433827417	0 2 30 80 102 140 222 242 330 350 432 470 492 542 570 572	-1888395417000
SPT(16)	2322132331359756173	0 18 20 60 96 98 104 110 174 180 186 188 224 264 266 284	-1685469488244
SPT(16)	2322133197163994437	0 12 34 40 54 82 112 114 142 144 174 202 216 222 244 256	-819665249980
SPT(16)	2322133404027104933	0 14 56 74 84 96 150 200 234 284 338 350 360 378 420 434	-612802139484
SPT(16)	2322133818739260653	0 8 26 44 54 66 78 80 114 116 128 140 150 168 186 194	-198089983764
STPT(10)	2322133823352557897	0 2 12 14 72 74 132 134 144 146	-193476686520
STPT(10)	2322134024490045707	0 2 30 32 42 44 54 56 84 86	7660801290
TPT(14)	2322134392556283089	0 2 30 32 108 110 120 122 168 170 198 200 210 212	375727038672
STPT(10)	2322134856167562299	0 2 42 44 90 92 138 140 180 182	839338317882
SPT(16)	2322135171203648971	0 10 22 66 100 112 126 130 132 136 150 162 196 240 252 262	1154374404554
STPT(10)	2322135337624214051	0 2 30 32 60 62 90 92 120 122	1320794969634