#g4 f2 z1

6x6
-1 1 0 0 0 0
-1 0 1 1 0 0
-1 0 1 0 0 0
-1 0 0 1 0 0
0 0 0 0 1 0
0 0 0 0 0 1

6x6
0 0 -1 0 0 0
-1 0 -1 1 0 0
-1 0 0 0 0 0
-1 1 -1 0 0 0
0 0 0 0 1 0
0 0 0 0 0 1

6x6
1 0 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 0 0 0 1
0 0 0 0 -1 1

6x6
1 0 0 0 0 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 0 0 0 1
0 0 0 0 1 0

6x6
2 -1 0 0 0 0
-1 2 -1 -1 0 0
0 -1 2 0 0 0
0 -1 0 2 0 0
0 0 0 0 0 0
0 0 0 0 0 0

6x6
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 2 -1
0 0 0 0 -1 2

6 % forgotten centering in the original work by plesken and hanrath
 -1 1 1 -1 1 -1
 -2 2 1 -1 0  0
 -1 1 0 -1 1  0
 -2 0 1  0 0  0
  0 0 0  0 0  1
  0 0 1 -1 0  1

2^9 * 3^3 =13824
