The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+23x^30+32x^31+15x^32+32x^33+24x^34+1x^62

The gray image is a code over GF(2) with n=64, k=7 and d=30.
This code was found by Heurico 1.16 in 53 seconds.