The generator matrix

 1  0  0  1  1  1  0  1  1  X X+2  1  0  1 X+2  X  1  1  0  1  1  1  1  1  X  1  1  1 X+2  0  2  1
 0  1  0  1  X X+3  1  0 X+3  1  X  2  1 X+1  1  1 X+1  1  2 X+1 X+2 X+2  X  3 X+2 X+2  2  1  1  1  1  0
 0  0  1  1  1  0 X+3  X  X  1  1  1  X X+1  X  X  X  X  1 X+3  X X+3  0 X+2  1  X X+3  3  3 X+3  0  0
 0  0  0  X  0 X+2 X+2  X  2  2 X+2  0 X+2  0 X+2  2  X  0 X+2 X+2  X X+2 X+2 X+2  0  2  X  X X+2  0 X+2  0
 0  0  0  0  2  0  0  2  2  2  2  2  2  2  0  2  2  0  2  2  0  0  0  2  0  0  2  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  0  2  0  0  2  2  2  2  0  2  0  2  2  2  2  0  2  0
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  0  0  2  0  0  2  2  0  2  2  2  2  0  0  0  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+44x^24+98x^25+369x^26+506x^27+931x^28+1166x^29+2004x^30+1780x^31+2505x^32+1862x^33+2032x^34+1196x^35+940x^36+450x^37+323x^38+100x^39+58x^40+8x^41+7x^42+2x^43+1x^44+1x^54

The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 4.4 seconds.