The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+44x^23+420x^24+952x^25+2193x^26+3858x^27+6411x^28+10286x^29+14505x^30+17712x^31+18371x^32+17438x^33+14504x^34+10504x^35+6754x^36+3774x^37+1972x^38+828x^39+360x^40+122x^41+39x^42+14x^43+3x^44+4x^45+3x^46

The gray image is a code over GF(2) with n=128, k=17 and d=46.
This code was found by Heurico 1.13 in 80.9 seconds.