Prime p₀= 1682159151939190049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 40 2 40 2 16 2 28 2 (?)
a_n: 0 2 30 32 138 140 180 182 222 224 240 242 270 272
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: 272
Found by: kotenok2000
db: batch=79, k=14, 28 106 40 40 16 28

SPT(16)	1682158403081976917	0 14 44 54 60 84 122 126 170 174 212 236 242 252 282 296	-748857213132
SPT(16)	1682158807118382289	0 22 34 82 90 118 142 154 168 180 204 232 240 288 300 322	-344820807760
STPT(10)	1682158998690159839	0 2 12 14 90 92 168 170 180 182	-153249030210
SPT(16)	1682159040753999229	0 4 30 70 100 108 120 130 132 142 154 162 192 232 258 262	-111185190820
SPT(16)	1682159088805981519	0 60 70 82 142 144 172 174 178 180 208 210 270 282 292 352	-63133208530
SPT(16)	1682159150881967353	0 4 10 70 136 138 186 220 264 298 346 348 414 474 480 484	-1057222696
SPT(16)	1682159326374920251	0 46 60 102 112 162 192 262 396 466 496 546 556 598 612 658	174435730202
SPT(16)	1682159400442560763	0 36 94 114 120 196 216 240 280 304 324 400 406 426 484 520	248503370714
SPT(16)	1682159662558250627	0 12 26 44 50 86 90 182 204 296 300 336 342 360 374 386	510619060578
STPT(10)	1682159892449090807	0 2 30 32 42 44 54 56 84 86	740509900758
SPT(16)	1682160384067707829	0 22 28 174 178 190 262 288 334 360 432 444 448 594 600 622	1232128517780