The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+62x^25+123x^26+164x^27+221x^28+330x^29+395x^30+462x^31+574x^32+530x^33+409x^34+266x^35+197x^36+150x^37+97x^38+66x^39+29x^40+16x^41+2x^43+2x^44

The gray image is a code over GF(2) with n=128, k=12 and d=50.
This code was found by Heurico 1.16 in 0.497 seconds.