The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+24x^28+40x^29+31x^30+40x^31+30x^32+24x^33+18x^34+6x^35+6x^36+12x^37+13x^38+3x^40+4x^41+2x^43+2x^46

The gray image is a code over GF(2) with n=64, k=8 and d=28.
This code was found by Heurico 1.16 in 0.00697 seconds.