Prime p₀= 1058450237028140609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 46 2 40 2 28 2 10 2 (?)
a_n: 0 2 30 32 120 122 168 170 210 212 240 242 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 28 88 46 40 28 10

SPT(16)	1058447935735979219	0 60 72 98 114 132 182 198 254 270 320 338 354 380 392 452	-2301292161390
TPT(14)	1058447941694184341	0 2 60 62 108 110 150 152 180 182 240 242 276 278	-2295333956268
SPT(16)	1058449320263786413	0 58 100 118 154 204 228 274 294 340 364 414 450 468 510 568	-916764354196
SPT(16)	1058449619112076747	0 6 24 100 156 196 210 234 292 316 330 370 426 502 520 526	-617916063862
SPT(16)	1058449702397435723	0 6 18 90 140 144 156 170 174 188 200 204 254 326 338 344	-534630704886
SPT(16)	1058449846751773093	0 4 34 66 70 114 118 148 156 186 190 234 238 270 300 304	-390276367516
SPT(16)	1058450346211128271	0 10 16 48 100 112 136 142 186 192 216 228 280 312 318 328	109182987662
STPT(10)	1058450402581211609	0 2 12 14 30 32 48 50 60 62	165553071000
SPT(16)	1058450577684267011	0 56 60 80 110 126 132 156 182 206 212 228 258 278 282 338	340656126402
TPT(14)	1058451008170077341	0 2 30 32 138 140 156 158 180 182 240 242 276 278	771141936732
STPT(10)	1058451147916826957	0 2 42 44 72 74 102 104 144 146	910888686348