Prime p₀= 1078112979851398031 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: stoneageman
db: batch=76, k=12, 2 34 2 10 2 28

STPT(10)	1078111065884934467	0 2 12 14 42 44 72 74 84 86	-1913966463564
SPT(16)	1078111138180843951	0 30 60 118 130 132 136 156 172 192 196 198 210 268 298 328	-1841670554080
STPT(10)	1078111203312860999	0 2 42 44 60 62 78 80 120 122	-1776538537032
SPT(16)	1078111401716240791	0 22 60 70 72 100 126 130 138 142 168 196 198 208 246 268	-1578135157240
TPT(14)	1078111596419696537	0 2 30 32 114 116 180 182 240 242 252 254 270 272	-1383431701494
SPT(16)	1078111762064937163	0 4 40 58 70 84 88 100 144 156 160 174 186 204 240 244	-1217786460868
SPT(16)	1078113208324522933	0 16 28 30 36 66 94 120 154 180 208 238 244 246 258 274	228473124902
SPT(16)	1078113637780195789	0 12 22 64 70 84 168 190 222 244 328 342 348 390 400 412	657928797758
SPT(16)	1078113793798428991	0 16 28 48 58 60 120 156 160 196 256 258 268 288 300 316	813947030960
SPT(16)	1078114012368568367	0 20 26 56 66 80 84 86 150 152 156 170 180 210 216 236	1032517170336
SPT(16)	1078114494837561809	0 8 20 24 38 78 80 90 92 102 104 144 158 162 174 182	1514986163778