Prime p₀= 2322131932490519837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 46 2 46 2 28 2 142 2 (?)
a_n: 0 2 72 74 114 116 162 164 210 212 240 242 384 386
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: 386
Found by: Orange Kid
db: batch=81, k=14, 70 40 46 46 28 142

SPT(16)	2322129126470136677	0 2 12 14 56 66 80 92 114 126 140 150 192 194 204 206	-2806020383160
STPT(10)	2322130049472812609	0 2 18 20 30 32 42 44 60 62	-1883017707228
SPT(16)	2322131177732339021	0 38 42 60 66 68 86 116 192 222 240 242 248 266 270 308	-754758180816
TPT(14)	2322131211253158761	0 2 30 32 66 68 78 80 96 98 108 110 150 152	-721237361076
STPT(10)	2322131729830769807	0 2 30 32 42 44 54 56 84 86	-202659750030
STPT(10)	2322131792145927887	0 2 30 32 72 74 114 116 144 146	-140344591950
SPT(16)	2322132128433827417	0 2 30 80 102 140 222 242 330 350 432 470 492 542 570 572	195943307580
SPT(16)	2322132331359756173	0 18 20 60 96 98 104 110 174 180 186 188 224 264 266 284	398869236336
SPT(16)	2322133197163994437	0 12 34 40 54 82 112 114 142 144 174 202 216 222 244 256	1264673474600
SPT(16)	2322133404027104933	0 14 56 74 84 96 150 200 234 284 338 350 360 378 420 434	1471536585096
SPT(16)	2322133818739260653	0 8 26 44 54 66 78 80 114 116 128 140 150 168 186 194	1886248740816