Prime p₀= 895359761271301031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 28 2 28 2 10 2 64 2 (?)
a_n: 0 2 96 98 138 140 168 170 198 200 210 212 276 278
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: 278
Found by: paulteo
db: batch=73, k=14, 94 40 28 28 10 64

TPT(14)	895358399174973857	0 2 54 56 60 62 132 134 222 224 270 272 294 296	-1362096327174
STPT(10)	895358495601237137	0 2 30 32 42 44 54 56 84 86	-1265670063894
SPT(16)	895358688689487481	0 30 106 118 156 162 210 216 232 238 286 292 330 342 418 448	-1072581813550
SPT(16)	895359162072069389	0 2 8 60 78 92 102 132 158 188 198 212 230 282 288 290	-599199231642
STPT(10)	895359681252602339	0 2 48 50 90 92 132 134 180 182	-80018698692
SPT(16)	895359703936800121	0 18 22 48 78 148 180 246 262 328 360 430 460 486 490 508	-57334500910
SPT(16)	895359864750296401	0 88 96 130 150 166 178 198 208 228 240 256 276 310 318 406	103478995370
STPT(10)	895359930423553319	0 2 48 50 90 92 132 134 180 182	169152252288
SPT(16)	895360042147957039	0 82 90 112 120 180 210 322 342 454 484 544 552 574 582 664	280876656008
SPT(16)	895360085884775293	0 16 30 34 46 48 60 84 100 124 136 138 150 154 168 184	324613474262
SPT(16)	895360142473076141	0 26 32 42 50 72 102 116 162 176 206 228 236 246 252 278	381201775110