The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  2  X  0  2  1  1  X  X  X  X  1  1  2  0
 0  X  0  0  0  0  0  0  0  X X+2  X  X X+2  X  2  2 X+2  X  0  0  X X+2  X X+2  X  0  2  X  2  X  2
 0  0  X  0  0  0  X X+2  X  0  0  0  X  X X+2  2  X  X  2  X  X  X  2  2  X  0  X  0  X  X  X  X
 0  0  0  X  0  X  X X+2  0  X  X  2  0  2 X+2  X  0  X  2  X X+2 X+2 X+2  X  0  X X+2  X  X  2 X+2  2
 0  0  0  0  X  X  0 X+2  X  2 X+2 X+2  0 X+2  X X+2 X+2  0  X  2  X  X  0  X  X  2  2  0  0  0 X+2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  2  2  0  2  0  2  0  2  0  0  2  0
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  2  2  2  2  0  0  2  0  0  2  0  0  2  0  2  0  0  2
 0  0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0  0  0  0  2  0  2  2  2  0  2  2  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+54x^23+158x^24+276x^25+431x^26+498x^27+889x^28+1216x^29+1576x^30+2016x^31+2000x^32+2048x^33+1703x^34+1312x^35+931x^36+496x^37+356x^38+202x^39+104x^40+60x^41+25x^42+14x^43+11x^44+4x^46+1x^48+1x^50+1x^52

The gray image is a code over GF(2) with n=128, k=14 and d=46.
This code was found by Heurico 1.16 in 7.07 seconds.