The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^26+80x^27+91x^28+102x^29+88x^30+92x^31+83x^32+70x^33+82x^34+88x^35+56x^36+50x^37+26x^38+28x^39+24x^40+2x^41+9x^42+1x^44+2x^46

The gray image is a code over GF(2) with n=64, k=10 and d=26.
This code was found by Heurico 1.16 in 0.0563 seconds.