Prime p₀= 2925056386179064391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 10 2 28 2 46 2 22 2 (?)
a_n: 0 2 126 128 156 158 168 170 198 200 246 248 270 272
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: pelpolaris
db: batch=82, k=14, 124 28 10 28 46 22

SPT(16)	2925055450598739037	0 42 84 90 100 114 126 130 156 160 172 186 196 202 244 286	-935580325354
SPT(16)	2925055685326670123	0 48 60 86 90 98 114 140 144 170 186 194 198 224 236 284	-700852394268
TPT(14)	2925055860600262547	0 2 30 32 90 92 132 134 174 176 294 296 312 314	-525578801844
SPT(16)	2925055874042734381	0 70 78 102 108 136 180 252 256 328 372 400 406 430 438 508	-512136330010
SPT(16)	2925056219933774123	0 14 86 96 120 138 186 228 236 278 326 344 368 378 450 464	-166245290268
STPT(10)	2925056247435011111	0 2 36 38 78 80 120 122 156 158	-138744053280
TPT(14)	2925056777245769807	0 2 42 44 54 56 60 62 90 92 102 104 132 134	391066705416
SPT(18)	2925057141036665851	0 30 60 76 108 126 150 192 198 280 286 328 352 370 402 418 448 478	754857601460
SPT(16)	2925057147637372613	0 140 180 188 194 210 224 276 308 360 374 390 396 404 444 584	761458308222
STPT(10)	2925057237953518667	0 2 24 26 42 44 60 62 84 86	851774454276
SPT(16)	2925057243809843651	0 36 56 92 120 152 168 176 192 200 216 248 276 312 332 368	857630779260