The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^32+502x^34+1086x^36+1516x^38+2226x^40+2466x^42+2878x^44+2216x^46+1746x^48+858x^50+474x^52+108x^54+78x^56+14x^58+10x^60+1x^64

The gray image is a code over GF(2) with n=86, k=14 and d=32.
This code was found by Heurico 1.16 in 37.1 seconds.