Prime p₀= 1033326789692790209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 88 2 10 2 28 2 (?)
a_n: 0 2 12 14 78 80 108 110 198 200 210 212 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 10 64 28 88 10 28

SPT(16)	1033325451855842207	0 14 30 56 66 86 122 240 266 384 420 440 450 476 492 506	-1337836948002
TPT(14)	1033325788031194001	0 2 36 38 66 68 126 128 210 212 318 320 390 392	-1001661596208
SPT(16)	1033325914028094019	0 58 64 100 102 120 144 202 210 268 292 310 312 348 354 412	-875664696190
SPT(16)	1033326150798613879	0 34 78 82 88 102 120 138 154 172 190 204 210 214 258 292	-638894176330
STPT(10)	1033326655928324081	0 2 30 32 78 80 126 128 156 158	-133764466128
TPT(14)	1033326712347109067	0 2 24 26 30 32 192 194 222 224 270 272 294 296	-77345681142
TPT(14)	1033326852626449541	0 2 18 20 30 32 66 68 108 110 186 188 198 200	62933659332
SPT(16)	1033327166331877297	0 12 156 180 184 202 210 222 244 256 264 282 286 310 454 466	376639087088
SPT(16)	1033327655885708653	0 28 94 108 130 156 186 198 226 238 268 294 316 330 396 424	866192918444
SPT(16)	1033327794033917947	0 12 36 64 82 94 96 102 154 160 162 174 192 220 244 256	1004341127738
SPT(16)	1033327850364814091	0 20 38 68 92 150 152 192 206 246 248 306 330 360 378 398	1060672023882