Prime p₀= 1277218240374845969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: Egon olsen
db: batch=77, k=12, 2 10 2 34 2 82

TPT(14)	1277217420323829461	0 2 78 80 96 98 120 122 138 140 180 182 246 248	-820051016508
TPT(14)	1277217511568012801	0 2 48 50 66 68 78 80 150 152 210 212 276 278	-728806833168
SPT(16)	1277217717177886439	0 48 50 60 90 104 114 120 152 158 168 182 212 222 224 272	-523196959530
STPT(10)	1277217816476400707	0 2 30 32 42 44 54 56 84 86	-423898445262
TPT(14)	1277217980534714159	0 2 42 44 198 200 210 212 240 242 258 260 270 272	-259840131810
SPT(16)	1277218200583671263	0 66 78 98 114 128 144 158 246 260 276 290 306 326 338 404	-39791174706
SPT(16)	1277218259488450921	0 10 12 22 42 118 120 132 166 178 180 256 276 286 288 298	19113604952
SPT(16)	1277218597812661367	0 6 12 24 90 96 114 152 234 272 290 296 362 374 380 386	357437815398
STPT(10)	1277218683439304141	0 2 6 8 48 50 90 92 96 98	443064458172
SPT(16)	1277219009174600203	0 48 54 150 160 186 196 210 214 228 238 264 274 370 376 424	768799754234
SPT(16)	1277219221282864463	0 6 24 38 50 60 84 90 134 140 164 174 186 200 218 224	980908018494