The generator matrix

 1  0  0  0  0  1  1  1  1  1  0  2  0  X  1 X+2  1  1  2  1  X  1  1  0  1  1  0  1 X+2  1  1  1
 0  1  0  0  0  2  2  0  0  0  1  1  1 X+2 X+2  1  1  1  X  1  1 X+3 X+2  X  2  1  X X+1  1 X+3  3 X+2
 0  0  1  0  0  2  0  3 X+1 X+3  3 X+1  X  1 X+2 X+3  1  2  X  2 X+3 X+1  2  1  1  X  0 X+1 X+2  2 X+2  0
 0  0  0  1  0  1  X  X X+2 X+1  3  X X+3  3  1  X X+3  1  1  X  3  X X+2  1  2  X X+2  3  X  2  2  X
 0  0  0  0  1  1 X+1  3  X X+1  X  3  1 X+1 X+2 X+2  2  2  3  X  2  1 X+3  2  3 X+1  1 X+3  X  1  X  3

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+156x^25+553x^26+1286x^27+1846x^28+2642x^29+3297x^30+4236x^31+4318x^32+4480x^33+3706x^34+2912x^35+1614x^36+938x^37+449x^38+220x^39+59x^40+24x^41+27x^42+2x^43+2x^44

The gray image is a code over GF(2) with n=128, k=15 and d=50.
This code was found by Heurico 1.13 in 6.34 seconds.