The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+56x^18+177x^20+309x^22+385x^24+516x^26+256x^27+892x^28+1280x^29+1232x^30+2560x^31+1197x^32+2560x^33+980x^34+1280x^35+854x^36+256x^37+706x^38+446x^40+236x^42+124x^44+56x^46+18x^48+4x^50+1x^52+1x^54+1x^56

The gray image is a code over GF(2) with n=64, k=14 and d=18.
This code was found by Heurico 1.16 in 14.4 seconds.