The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  1  1
 0  2  0  0  0  0  0  2  0  0  0  0  2  2  0  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0
 0  0  2  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  0  2  2  0  2  0  2  0  2  0  0  0  2
 0  0  0  0  2  0  0  2  0  2  0  2  0  2  0  2  2  0  2  2  2  0  0  2  0  0  2  2  0  0  2  2
 0  0  0  0  0  2  0  2  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  2  2  2  0  2  0  0  2  0  2  2  2  0  0  2  0  0  0  2  0  0  2  2  2  2  0

generates a code of length 32 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+13x^26+27x^28+54x^30+75x^32+48x^34+20x^36+10x^38+4x^40+3x^42+1x^60

The gray image is a code over GF(2) with n=64, k=8 and d=26.
This code was found by Heurico 1.16 in 0.00954 seconds.