The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^28+52x^30+70x^32+32x^34+11x^36+12x^38+19x^40+2x^48

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 0.00822 seconds.