Prime p₀= 1337169093830221409 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 76 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 168 170 198 200 258 260
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: 260
Found by: stoneageman
db: batch=77, k=12, 2 58 2 28 2 76

STPT(10)	1337168427690051389	0 2 42 44 210 212 378 380 420 422	-666140170020
STPT(10)	1337168434114452617	0 2 12 14 42 44 72 74 84 86	-659715768792
STPT(10)	1337168439485083019	0 2 42 44 90 92 138 140 180 182	-654345138390
SPT(16)	1337168483917626683	0 50 66 68 134 156 164 180 224 240 248 270 336 338 354 404	-609912594726
SPT(16)	1337168568143931311	0 12 26 38 60 66 92 98 120 126 152 158 180 192 206 218	-525686290098
SPT(16)	1337168960956478149	0 24 48 52 70 82 112 174 238 300 330 342 360 364 388 412	-132873743260
TPT(14)	1337169481494795659	0 2 60 62 72 74 102 104 168 170 198 200 228 230	387664574250
SPT(16)	1337169548567767021	0 18 42 48 60 72 100 108 112 120 148 160 172 178 202 220	454737545612
SPT(16)	1337170155329394391	0 10 22 46 48 118 192 252 256 316 390 460 462 486 498 508	1061499172982
SPT(16)	1337170169530051523	0 24 30 38 60 98 168 174 200 206 276 314 336 344 350 374	1075699830114
SPT(16)	1337170217602115759	0 20 78 102 132 134 140 158 174 192 198 200 230 254 312 332	1123771894350