Prime p₀= 2142576653995513199 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 184 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 258 260 270 272 330 332
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: 332
Found by: Chaunton
db: batch=80, k=12, 2 58 2 10 2 184

SPT(16)	2142574505108247599	0 2 20 30 42 44 68 78 104 114 138 140 152 162 180 182	-2148887265600
STPT(10)	2142574710744478259	0 2 18 20 30 32 42 44 60 62	-1943251034940
SPT(16)	2142574889819653739	0 32 38 42 60 72 90 102 380 392 410 422 440 444 450 482	-1764175859460
SPT(16)	2142575285096562541	0 46 58 70 78 82 102 106 162 166 186 190 198 210 222 268	-1368898950658
STPT(10)	2142575388997259231	0 2 36 38 78 80 120 122 156 158	-1264998253968
STPT(10)	2142576351313082327	0 2 30 32 42 44 54 56 84 86	-302682430872
STPT(10)	2142576874943294891	0 2 6 8 48 50 90 92 96 98	220947781692
SPT(16)	2142577192597636229	0 8 42 74 80 84 102 120 122 140 158 162 168 200 234 242	538602123030
SPT(16)	2142577417990258453	0 24 78 88 94 100 154 166 168 180 234 240 246 256 310 334	763994745254
STPT(10)	2142577618961300699	0 2 12 14 90 92 168 170 180 182	964965787500
STPT(10)	2142577647592905977	0 2 24 26 42 44 60 62 84 86	993597392778