Prime p₀= 825911864973996341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 126 128 168 170 186 188 228 230 258 260
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: 260
Found by: matsu_pl
db: batch=73, k=14, 28 94 40 16 40 28

SPT(16)	825911215555097297	0 20 26 36 44 66 80 84 92 96 110 132 140 150 156 176	-649418899044
SPT(16)	825911294655360593	0 8 18 26 30 36 54 80 114 140 158 164 168 176 186 194	-570318635748
SPT(16)	825911476180477837	0 34 36 42 72 112 126 132 184 190 204 244 274 280 282 316	-388793518504
STPT(10)	825911539943720297	0 2 60 62 72 74 84 86 144 146	-325030276044
SPT(16)	825911576874093097	0 40 84 174 204 216 222 226 300 304 310 322 352 442 486 526	-288099903244
TPT(14)	825911745755975237	0 2 72 74 132 134 240 242 270 272 294 296 462 464	-119218021104
SPT(16)	825911942598760949	0 42 74 78 110 120 138 140 162 164 182 192 224 228 260 302	77624764608
SPT(16)	825912109811069903	0 44 66 114 144 164 198 228 296 326 360 380 410 458 480 524	244837073562
STPT(10)	825912158131976099	0 2 30 32 60 62 90 92 120 122	293157979758
SPT(16)	825912172308040151	0 12 20 42 90 122 140 176 222 258 276 308 356 378 386 398	307334043810
STPT(10)	825912457819159691	0 2 36 38 78 80 120 122 156 158	592845163350