The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+69x^24+116x^25+185x^26+224x^27+299x^28+296x^29+308x^30+360x^31+330x^32+412x^33+347x^34+356x^35+255x^36+176x^37+157x^38+80x^39+68x^40+24x^41+24x^42+4x^43+2x^44+3x^46

The gray image is a code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.803 seconds.