Prime p₀= 1058451008170077341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 16 2 22 2 58 2 34 2 (?)
a_n: 0 2 30 32 138 140 156 158 180 182 240 242 276 278
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: stoneageman
db: batch=76, k=14, 28 106 16 22 58 34

SPT(16)	1058449702397435723	0 6 18 90 140 144 156 170 174 188 200 204 254 326 338 344	-1305772641618
SPT(16)	1058449846751773093	0 4 34 66 70 114 118 148 156 186 190 234 238 270 300 304	-1161418304248
TPT(14)	1058450237028140609	0 2 30 32 120 122 168 170 210 212 240 242 252 254	-771141936732
SPT(16)	1058450346211128271	0 10 16 48 100 112 136 142 186 192 216 228 280 312 318 328	-661958949070
STPT(10)	1058450402581211609	0 2 12 14 30 32 48 50 60 62	-605588865732
SPT(16)	1058450577684267011	0 56 60 80 110 126 132 156 182 206 212 228 258 278 282 338	-430485810330
STPT(10)	1058451147916826957	0 2 42 44 72 74 102 104 144 146	139746749616
TPT(14)	1058451157106463431	0 2 180 182 258 260 276 278 318 320 330 332 348 350	148936386090
TPT(14)	1058451585503170889	0 2 18 20 90 92 132 134 162 164 198 200 312 314	577333093548
SPT(16)	1058451754454566391	0 2 38 62 78 128 156 170 258 272 300 350 366 390 426 428	746284489050
SPT(16)	1058451792817770133	0 34 48 70 126 168 186 198 226 238 256 298 354 376 390 424	784647692792