Prime p₀= 1033326712347109067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 160 2 28 2 46 2 22 2 (?)
a_n: 0 2 24 26 30 32 192 194 222 224 270 272 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 22 4 160 28 46 22

TPT(14)	1033325435690351927	0 2 144 146 264 266 300 302 324 326 342 344 390 392	-1276656757140
SPT(16)	1033325451855842207	0 14 30 56 66 86 122 240 266 384 420 440 450 476 492 506	-1260491266860
TPT(14)	1033325788031194001	0 2 36 38 66 68 126 128 210 212 318 320 390 392	-924315915066
SPT(16)	1033325914028094019	0 58 64 100 102 120 144 202 210 268 292 310 312 348 354 412	-798319015048
SPT(16)	1033326150798613879	0 34 78 82 88 102 120 138 154 172 190 204 210 214 258 292	-561548495188
STPT(10)	1033326655928324081	0 2 30 32 78 80 126 128 156 158	-56418784986
TPT(14)	1033326789692790209	0 2 12 14 78 80 108 110 198 200 210 212 240 242	77345681142
TPT(14)	1033326852626449541	0 2 18 20 30 32 66 68 108 110 186 188 198 200	140279340474
SPT(16)	1033327166331877297	0 12 156 180 184 202 210 222 244 256 264 282 286 310 454 466	453984768230
SPT(16)	1033327655885708653	0 28 94 108 130 156 186 198 226 238 268 294 316 330 396 424	943538599586
SPT(16)	1033327794033917947	0 12 36 64 82 94 96 102 154 160 162 174 192 220 244 256	1081686808880