The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 X 0 X 0 X 2 X X 2 X 2 2
0 X 0 X+2 0 X+2 0 X 2 X+2 2 X 2 X+2 2 X X+2 X X+2 X X+2 X X+2 X X X X X X X X X
0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0
0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0
generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+125x^32+2x^48
The gray image is a code over GF(2) with n=128, k=7 and d=64.
This code was found by Heurico 1.16 in 0.0113 seconds.