Prime p₀= 2932346235279874937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 166 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 210 212 240 242 252 254
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: 254
Found by: MarkRBright
db: batch=82, k=12, 2 10 2 28 2 166

SPT(16)	2932345714421516423	0 6 30 38 60 90 140 158 198 216 266 296 318 326 350 356	-520858358514
SPT(16)	2932345721593833277	0 36 40 46 96 102 106 144 172 210 214 220 270 276 280 316	-513686041660
STPT(12)	2932345724137272851	0 2 36 38 78 80 288 290 330 332 366 368	-511142602086
TPT(14)	2932345923443730569	0 2 138 140 150 152 228 230 240 242 282 284 318 320	-311836144368
SPT(16)	2932346041928577049	0 18 24 84 88 90 124 130 138 144 178 180 184 244 250 268	-193351297888
SPT(16)	2932346071857482087	0 2 12 26 36 62 66 86 90 110 114 140 150 164 174 176	-163422392850
STPT(10)	2932346398466514509	0 2 18 20 30 32 42 44 60 62	163186639572
SPT(16)	2932346452374499373	0 38 50 68 78 140 170 188 240 258 288 350 360 378 390 428	217094624436
SPT(16)	2932346545527188393	0 6 18 66 80 108 114 128 246 260 266 294 308 356 368 374	310247313456
SPT(16)	2932346745804542617	0 36 40 70 96 160 232 234 262 264 336 400 426 456 460 496	510524667680
TPT(14)	2932346888631769967	0 2 12 14 114 116 180 182 402 404 450 452 570 572	653351895030