The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  2  1  1  2  2  1  0  1  1  2  0  1  1  1  2  1  0  2  1  1  0
 0  1  0  0  0  0  0  0  0  1  1  1  3  3  2  2  0  1  1  1  1  1  3  2  0  1  0  0  2  0  2  1
 0  0  1  0  0  0  1  1  1  0  2  0  2  1  2  1  3  1  1  0  0  3  1  2  3  3  0  1  1  2  2  1
 0  0  0  1  0  1  1  0  1  1  0  3  1  2  1  0  2  0  2  2  0  2  1  0  1  2  3  1  1  0  3  2
 0  0  0  0  1  1  0  1  1  2  3  2  3  1  1  1  0  2  0  0  3  3  0  0  0  1  2  3  2  3  2  3
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  0  2  0  0  2  2  2
 0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  2  2  2  2  0  2  0  2  0  0  2  0  0  0  2  2  0
 0  0  0  0  0  0  0  2  2  0  2  2  2  0  0  2  0  0  2  2  0  2  0  0  2  2  2  2  0  0  2  2

generates a code of length 32 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+54x^23+160x^24+232x^25+333x^26+420x^27+491x^28+558x^29+647x^30+754x^31+787x^32+774x^33+727x^34+646x^35+507x^36+426x^37+302x^38+160x^39+92x^40+58x^41+35x^42+14x^43+9x^44+3x^46+1x^50+1x^52

The gray image is a code over GF(2) with n=64, k=13 and d=23.
This code was found by Heurico 1.16 in 3.33 seconds.