The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+103x^24+546x^25+1155x^26+1900x^27+3444x^28+5276x^29+7005x^30+8560x^31+9159x^32+8822x^33+7353x^34+5336x^35+3440x^36+1802x^37+891x^38+448x^39+205x^40+64x^41+12x^42+12x^43+2x^45

The gray image is a code over GF(2) with n=128, k=16 and d=48.
This code was found by Heurico 1.13 in 22.8 seconds.