Prime p₀= 3015767855443337381 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 22 2 124 2 22 2 34 2 (?)
a_n: 0 2 36 38 60 62 186 188 210 212 246 248
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: 248
Found by: Orange Kid
db: batch=82, k=12, 2 34 2 22 2 124

SPT(16)	3015766682236166021	0 8 30 48 80 116 168 182 276 290 342 378 410 428 450 458	-1173207171360
STPT(10)	3015766733100124439	0 2 18 20 60 62 102 104 120 122	-1122343212942
TPT(14)	3015766823893116479	0 2 90 92 138 140 168 170 180 182 222 224 240 242	-1031550220902
STPT(10)	3015767003390966579	0 2 18 20 30 32 42 44 60 62	-852052370802
STPT(10)	3015767291061423707	0 2 12 14 42 44 72 74 84 86	-564381913674
SPT(16)	3015767368189514903	0 26 44 56 74 96 98 104 150 156 158 180 198 210 228 254	-487253822478
SPT(16)	3015767944919333077	0 12 22 60 66 94 112 126 130 144 162 190 196 234 244 256	89475995696
SPT(16)	3015768067984988861	0 20 30 42 48 56 86 90 98 102 132 140 146 158 168 188	212541651480
SPT(16)	3015768140475422807	0 12 26 54 62 114 126 140 186 200 212 264 272 300 314 326	285032085426
SPT(16)	3015768179425450571	0 6 20 38 42 66 126 128 150 152 212 236 240 258 272 278	323982113190
SPT(16)	3015768221472349543	0 6 46 70 154 156 180 210 244 274 298 300 384 408 448 454	366029012162