Prime p₀= 1058148842540507567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 76 2 46 2 10 2 16 2 (?)
a_n: 0 2 42 44 54 56 132 134 180 182 192 194 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 40 10 76 46 10 16

SPT(16)	1058147069891066933	0 44 50 78 110 134 138 198 206 266 270 294 326 354 360 404	-1772649440634
SPT(16)	1058147150177193463	0 90 100 118 190 210 216 234 280 298 304 324 396 414 424 514	-1692363314104
TPT(14)	1058148017715881327	0 2 54 56 102 104 132 134 144 146 174 176 222 224	-824824626240
STPT(12)	1058148017715881381	0 2 48 50 78 80 90 92 120 122 168 170	-824824626186
SPT(16)	1058148443849734807	0 22 30 64 76 82 114 154 162 202 234 240 252 286 294 316	-398690772760
STPT(10)	1058148707172283757	0 2 30 32 60 62 90 92 120 122	-135368223810
STPT(10)	1058149233445541021	0 2 36 38 78 80 120 122 156 158	390905033454
TPT(14)	1058149299853922831	0 2 36 38 60 62 78 80 156 158 168 170 258 260	457313415264
SPT(16)	1058149662356148863	0 44 50 74 78 144 156 174 380 398 410 476 480 504 510 554	819815641296
STPT(10)	1058149758556152011	0 2 36 38 78 80 120 122 156 158	916015644444
STPT(10)	1058150079659977361	0 2 30 32 78 80 126 128 156 158	1237119469794