The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+97x^32+132x^33+286x^34+414x^35+544x^36+694x^37+738x^38+918x^39+1092x^40+1160x^41+1215x^42+1376x^43+1461x^44+1402x^45+1159x^46+1046x^47+788x^48+562x^49+450x^50+296x^51+216x^52+136x^53+110x^54+44x^55+22x^56+10x^57+9x^58+2x^59+3x^60+1x^62

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 38.7 seconds.