The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^28+52x^29+35x^30+24x^31+38x^32+24x^33+13x^34+8x^35+5x^36+12x^37+13x^38+1x^40+8x^41+3x^42+1x^44

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 0.00758 seconds.