The generator matrix
1 0 1 1 1 X+2 1 1 2 1 1 2 1 1 X+2 X X+2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1
0 1 1 X+2 X+1 1 3 2 1 2 1 1 X X+3 1 1 1 2 X X 1 X+3 X+3 1 0 X+1 0 X+1 X+1 1 2 X
0 0 X 0 2 0 2 X X X+2 X+2 X+2 X X 0 X X 0 2 X 2 0 X 2 2 0 X+2 X+2 2 X X 0
0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0
generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.
Homogenous weight enumerator: w(x)=1x^0+80x^29+120x^30+48x^31+28x^32+48x^33+96x^34+80x^35+8x^38+2x^40+1x^48
The gray image is a code over GF(2) with n=128, k=9 and d=58.
This code was found by Heurico 1.16 in 0.0314 seconds.