Prime p₀= 2443175451868407731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 10 2 58 2 10 2 58 2 (?)
a_n: 0 2 60 62 126 128 138 140 198 200 210 212 270 272
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: JayPi
db: batch=82, k=14, 58 64 10 58 10 58

TPT(14)	2443174327598093231	0 2 30 32 48 50 126 128 156 158 240 242 270 272	-1124270314500
TPT(14)	2443174797894370919	0 2 12 14 150 152 162 164 222 224 330 332 588 590	-653974036812
SPT(16)	2443174849487124703	0 18 34 46 54 60 90 114 280 304 334 340 348 360 376 394	-602381283028
STPT(10)	2443174886605446839	0 2 18 20 30 32 42 44 60 62	-565262960892
STPT(10)	2443175253018260741	0 2 78 80 138 140 198 200 276 278	-198850146990
STPT(10)	2443175380256365607	0 2 30 32 72 74 114 116 144 146	-71612042124
STPT(10)	2443175597345998181	0 2 6 8 18 20 30 32 36 38	145477590450
STPT(10)	2443175951071920917	0 2 30 32 72 74 114 116 144 146	499203513186
SPT(16)	2443176766798906013	0 14 68 108 126 128 150 198 206 254 276 278 296 336 390 404	1314930498282
SPT(16)	2443177228370495657	0 6 32 42 50 162 200 234 302 336 374 486 494 504 530 536	1776502087926
SPT(18)	2443177457558802431	0 48 62 80 102 110 150 176 180 188 192 218 258 266 288 306 320 368	2005690394700