The generator matrix

 1  0  0  1  1  1  X  2  1  1 X+2  1 X+2  1  0  1  1  X  1  1  0  1 X+2  1  2  1  1  1  1  1  X  1
 0  1  0  1  0 X+3  1  X X+2  3  1  X  1 X+3  1 X+2  2  1 X+1  1  0  3  1  2 X+2 X+2  1 X+1  2 X+2  X X+1
 0  0  1  1  1  0  1  1  X  2 X+1  1  X  1  1 X+2 X+3  0 X+3  0  1  3  X  3  1  0  0 X+1  1  2  1  X
 0  0  0  X  0 X+2  2  X  2  2 X+2  0  0  0  0 X+2 X+2  X  X  2 X+2  2  X X+2  0  X X+2  0  X  0  X  0
 0  0  0  0  X  0  2 X+2 X+2 X+2  X  2  X  2 X+2  0  X X+2 X+2  0  0  X  2  2 X+2  X  0  0 X+2 X+2  X  X
 0  0  0  0  0  2  2  2  2  0  0  2  2  0  0  0  0  2  2  2  0  2  0  2  2  0  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 25.

Homogenous weight enumerator: w(x)=1x^0+106x^25+247x^26+556x^27+965x^28+1278x^29+1771x^30+2128x^31+2210x^32+2178x^33+1897x^34+1360x^35+806x^36+458x^37+241x^38+112x^39+49x^40+12x^41+4x^42+4x^43+1x^52

The gray image is a code over GF(2) with n=128, k=14 and d=50.
This code was found by Heurico 1.16 in 4.89 seconds.