L:=LatticeWithBasis(12, [1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,3]);

G := AutomorphismGroup(L);
#G; 
FactoredOrder(G);
KissingNumber(L); 

K := FiniteField(2); 
C := LinearCode<K, 12 | 
  [1,0,0,0,0,0,0,1,0,1,1,0],[0,1,0,0,0,0,0,0,1,0,1,1],[0,0,1,0,0,0,0,1,0,0,1,1],[0,0,0,1,0,0,0,1,1,1,1,1],[0,0,0,0,1,0,0,1,1,0,0,1],[0,0,0,0,0,1,0,1,1,0,1,0],[0,0,0,0,0,0,1,0,1,1,0,1]>;
G2 := AutomorphismGroup(C);
G2;
WeightDistribution(C);