The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+89x^32+144x^33+302x^34+370x^35+510x^36+714x^37+774x^38+962x^39+1059x^40+1218x^41+1290x^42+1320x^43+1398x^44+1256x^45+1173x^46+1080x^47+792x^48+632x^49+454x^50+342x^51+206x^52+126x^53+92x^54+22x^55+35x^56+6x^57+10x^58+6x^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 37.3 seconds.