Prime p₀= 2423382349210636367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 46 2 88 2 58 2 40 2 (?)
a_n: 0 2 12 14 24 26 72 74 162 164 222 224 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 10 10 46 88 58 40

STPT(10)	2423380188407361497	0 2 30 32 42 44 54 56 84 86	-2160803274870
SPT(16)	2423380691546797237	0 6 10 36 66 82 84 94 192 202 204 220 250 276 280 286	-1657663839130
SPT(16)	2423381461244568259	0 10 24 28 54 78 88 94 114 120 130 154 180 184 198 208	-887966068108
TPT(14)	2423381615694095909	0 2 30 32 180 182 222 224 228 230 282 284 312 314	-733516540458
SPT(16)	2423381802548850491	0 20 38 78 122 138 140 168 242 270 272 288 332 372 390 410	-546661785876
SPT(16)	2423382235031207629	0 72 78 102 114 132 180 204 208 232 280 298 310 334 340 412	-114179428738
TPT(16)	2423383245431067971	0 2 18 20 30 32 36 38 186 188 198 200 258 260 270 272	896220431604
SPT(16)	2423383342247399041	0 6 12 42 46 72 90 126 142 178 196 222 226 256 262 268	993036762674
STPT(10)	2423383473746147777	0 2 42 44 72 74 102 104 144 146	1124535511410
SPT(16)	2423383772632607321	0 20 38 56 66 108 150 176 180 206 248 290 300 318 336 356	1423421970954
STPT(10)	2423383855724490479	0 2 18 20 30 32 42 44 60 62	1506513854112