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.