Prime p₀= 2268230094910205357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 106 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 42 44 150 152 162 164 192 194 204 206 240 242
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: JayPi
db: batch=81, k=14, 40 106 10 28 10 34

SPT(18)	2268228989492751767	0 26 32 42 60 110 132 146 206 210 270 284 306 356 374 384 390 416	-1105417453590
STPT(10)	2268229063733869931	0 2 36 38 78 80 120 122 156 158	-1031176335426
STPT(10)	2268229162223647811	0 2 66 68 138 140 210 212 276 278	-932686557546
SPT(16)	2268229325276371537	0 22 36 106 136 196 234 262 264 292 330 390 420 490 504 526	-769633833820
STPT(10)	2268229830800920109	0 2 12 14 30 32 48 50 60 62	-264109285248
SPT(18)	2268229984901553749	0 48 84 104 140 150 152 164 182 240 258 270 272 282 318 338 374 422	-110008651608
SPT(16)	2268230114463580441	0 10 40 58 66 150 160 208 228 276 286 370 378 396 426 436	19553375084
SPT(16)	2268231020867866721	0 8 62 66 72 80 140 162 176 198 258 266 272 276 330 338	925957661364
STPT(10)	2268231033905697317	0 2 30 32 72 74 114 116 144 146	938995491960
SPT(16)	2268231429206867407	0 70 82 90 136 150 160 174 202 216 226 240 286 294 306 376	1334296662050
SPT(16)	2268231499879035083	0 24 68 78 96 128 164 176 228 240 276 308 326 336 380 404	1404968829726