The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  2  1  1  2  2  1  1  0  0  1  1  1  1  1  0  1  0  0  1  1  2  1  2  1  1  1  1  2  1  1
 0  1  0  1  0  1  1  0  0  1  3  1  2  1  0  1  1  1  2  2  0  1  3  0  1  2  2  2  1  1  2  1  3  2  2  1  3  0  2  2  2  0  2
 0  0  1  1  1  0  1  0  1  1  0  2  1  1  2  1  1  1  1  3  1  0  0  0  3  0  1  1  2  2  1  2  2  1  2  3  0  3  0  1  1  1  1
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  2  2  2  2  0  0  0  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  2  0  0  0  2  2  2  0  2  2  0  0  0  2  2  2  0  0  0  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  0  2  0  2  2  0  2  2  2  2  2  2  0  2  0  0  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  0  0  2  2  2  0  2  0  0  2  2  2  2  0  0  2  2  0  2  0  0  0  2  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  2  2  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  2  0  0  2  2  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  0  0  2  0  2  2  2  2  2  0  0  2  2  0  2  0  2  0  0  2  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+78x^32+36x^33+180x^34+168x^35+190x^36+298x^37+514x^38+454x^39+411x^40+672x^41+767x^42+792x^43+457x^44+732x^45+673x^46+484x^47+294x^48+268x^49+322x^50+144x^51+88x^52+42x^53+92x^54+6x^55+15x^56+11x^58+1x^60+1x^62+1x^64

The gray image is a code over GF(2) with n=86, k=13 and d=32.
This code was found by Heurico 1.16 in 5.38 seconds.