Prime p₀= 2453031946816842299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 4 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 108 110 150 152 210 212
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: 212
Found by: JayPi
db: batch=82, k=12, 2 58 2 40 2 4

STPT(10)	2453029984216911257	0 2 12 14 72 74 132 134 144 146	-1962599931042
SPT(16)	2453030119252296593	0 14 18 50 60 66 78 80 84 86 98 104 114 146 150 164	-1827564545706
SPT(16)	2453030860017122183	0 14 18 44 78 108 186 234 260 308 386 416 450 476 480 494	-1086799720116
STPT(10)	2453031029438679629	0 2 42 44 60 62 78 80 120 122	-917378162670
STPT(10)	2453031233897283041	0 2 30 32 60 62 90 92 120 122	-712919559258
TPT(14)	2453031293608360559	0 2 12 14 48 50 78 80 120 122 150 152 222 224	-653208481740
STPT(10)	2453032402697485949	0 2 18 20 30 32 42 44 60 62	455880643650
SPT(16)	2453033166444332413	0 34 58 90 160 184 196 198 256 258 270 294 364 396 420 454	1219627490114
STPT(10)	2453033911388958179	0 2 42 44 60 62 78 80 120 122	1964572115880
SPT(16)	2453033922222619501	0 10 72 76 166 192 210 216 226 232 250 276 366 370 432 442	1975405777202
SPT(16)	2453034326287259653	0 60 96 154 156 204 234 250 294 310 340 388 390 448 484 544	2379470417354