Prime p₀= 2471309250724820327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=12, 2 40 2 40 2 4

SPT(16)	2471307669281442031	0 40 52 60 82 108 132 178 210 256 280 306 328 336 348 388	-1581443378296
SPT(16)	2471307718134623353	0 58 66 94 96 100 118 196 198 276 294 298 300 328 336 394	-1532590196974
SPT(16)	2471307911207233421	0 8 26 36 42 56 68 92 156 180 192 206 212 222 240 248	-1339517586906
SPT(18)	2471307976614184559	0 12 38 42 54 74 98 132 158 174 200 234 258 278 290 294 320 332	-1274110635768
SPT(16)	2471308839043303747	0 4 24 54 64 90 96 124 132 160 166 192 202 232 252 256	-411681516580
STPT(10)	2471308990576164281	0 2 6 8 48 50 90 92 96 98	-260148656046
SPT(16)	2471309252807028503	0 20 24 30 38 86 104 140 174 210 228 276 284 290 294 314	2082208176
STPT(10)	2471309418727074221	0 2 6 8 18 20 30 32 36 38	168002253894
SPT(16)	2471309452064303231	0 12 50 122 138 140 156 222 236 302 318 320 336 408 446 458	201339482904
SPT(16)	2471309474532735523	0 16 58 70 124 130 144 178 186 220 234 240 294 306 348 364	223807915196
TPT(14)	2471309771434741397	0 2 30 32 42 44 54 56 84 86 114 116 180 182	520709921070