The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  2  X  1  2
 0  X  0  X  0  2  X X+2  0  2  X X+2  0  0 X+2 X+2  0  2 X+2  X X+2 X+2  2  2 X+2  X  0  0  X  2  X  0
 0  0  X  X  0  X X+2  2  0  X  X  0  0 X+2  X  2  2  2  0  2  0 X+2  X  0  X  2 X+2  X  2  X  0  2
 0  0  0  2  0  0  2  0  2  2  0  2  2  2  0  2  2  0  0  0  2  2  0  0  0  2  0  2  0  0  2  0
 0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  0  0  0  0  2  0  2  0  2  0  2  0  2  2  0  0  0

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+52x^28+124x^30+125x^32+128x^33+28x^34+36x^36+4x^38+9x^40+4x^42+1x^56

The gray image is a code over GF(2) with n=128, k=9 and d=56.
This code was found by Heurico 1.16 in 0.02 seconds.