Prime p₀= 1058148017715881381 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: Theadalus
db: batch=76, k=12, 2 46 2 28 2 10

STPT(10)	1058146703809281179	0 2 18 20 30 32 42 44 60 62	-1313906600202
SPT(16)	1058146883602252931	0 62 68 90 110 120 158 188 252 282 320 330 350 372 378 440	-1134113628450
SPT(16)	1058146996934534219	0 38 98 108 128 138 188 198 290 300 350 360 380 390 450 488	-1020781347162
SPT(16)	1058147069891066933	0 44 50 78 110 134 138 198 206 266 270 294 326 354 360 404	-947824814448
SPT(16)	1058147150177193463	0 90 100 118 190 210 216 234 280 298 304 324 396 414 424 514	-867538687918
TPT(14)	1058148017715881327	0 2 54 56 102 104 132 134 144 146 174 176 222 224	-54
SPT(16)	1058148443849734807	0 22 30 64 76 82 114 154 162 202 234 240 252 286 294 316	426133853426
STPT(10)	1058148707172283757	0 2 30 32 60 62 90 92 120 122	689456402376
TPT(14)	1058148842540507567	0 2 42 44 54 56 132 134 180 182 192 194 210 212	824824626186
STPT(10)	1058149233445541021	0 2 36 38 78 80 120 122 156 158	1215729659640
TPT(14)	1058149299853922831	0 2 36 38 60 62 78 80 156 158 168 170 258 260	1282138041450