The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+82x^32+48x^34+348x^36+296x^38+656x^40+576x^42+768x^44+464x^46+500x^48+144x^50+156x^52+8x^54+40x^56+8x^60+1x^64

The gray image is a code over GF(2) with n=86, k=12 and d=32.
This code was found by Heurico 1.16 in 1.6 seconds.