Prime p₀= 2826215568615611069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 28 2 34 2 58 2 40 2 28 2 (?)
a_n: 0 2 132 134 162 164 198 200 258 260 300 302 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 130 28 34 58 40 28

SPT(16)	2826214525793142997	0 42 64 66 120 144 190 196 210 216 262 286 340 342 364 406	-1042822468072
SPT(16)	2826214927372007351	0 48 50 66 98 102 138 180 188 230 266 270 302 318 320 368	-641243603718
TPT(14)	2826215144634997721	0 2 60 62 90 92 138 140 156 158 216 218 240 242	-423980613348
SPT(16)	2826215487977417897	0 20 50 92 110 114 140 162 194 216 242 246 264 306 336 356	-80638193172
SPT(16)	2826215557587337249	0 22 34 78 88 102 120 148 174 202 220 234 244 288 300 322	-11028273820
SPT(16)	2826215558401209581	0 6 32 66 122 132 150 192 266 308 326 336 392 426 452 458	-10214401488
TPT(14)	2826216075850991597	0 2 54 56 72 74 90 92 102 104 114 116 144 146	507235380528
SPT(16)	2826216511496914733	0 14 26 138 140 158 186 200 204 218 246 264 266 378 390 404	942881303664
SPT(18)	2826216531619699261	0 60 70 88 192 196 240 306 310 348 352 418 462 466 570 588 598 658	963004088192
TPT(16)	2826216532208760659	0 2 12 14 42 44 48 50 132 134 138 140 180 182 300 302	963593149590
TPT(14)	2826217194183953237	0 2 24 26 90 92 120 122 174 176 192 194 204 206	1625568342168