Prime p₀= 1051305696169297571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 118 2 16 2 16 2 (?)
a_n: 0 2 30 32 78 80 90 92 210 212 228 230 246 248
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: 248
Found by: stoneageman
db: batch=76, k=14, 28 46 10 118 16 16

SPT(16)	1051304099968667977	0 12 22 24 34 40 82 132 154 204 246 252 262 264 274 286	-1596200629594
SPT(16)	1051304592850829881	0 42 72 82 90 102 126 160 168 202 226 238 246 256 286 328	-1103318467690
STPT(10)	1051304696208041291	0 2 30 32 78 80 126 128 156 158	-999961256280
STPT(10)	1051305034730982971	0 2 30 32 60 62 90 92 120 122	-661438314600
SPT(16)	1051305411724191643	0 28 48 54 64 88 130 180 238 288 330 354 364 370 390 418	-284445105928
SPT(16)	1051305442419899833	0 48 66 78 90 126 138 204 220 286 298 334 346 358 376 424	-253749397738
STPT(10)	1051305753029036807	0 2 30 32 42 44 54 56 84 86	56859739236
SPT(16)	1051305766621490069	0 42 84 98 114 120 128 132 170 174 182 188 204 218 260 302	70452192498
STPT(12)	1051305828886790249	0 2 12 14 42 44 48 50 78 80 90 92	132717492678
SPT(16)	1051305942469402703	0 20 44 48 54 68 108 114 140 146 186 200 206 210 234 254	246300105132
TPT(14)	1051305951032726327	0 2 24 26 42 44 54 56 180 182 204 206 330 332	254863428756