The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^32+58x^33+146x^34+176x^35+304x^36+326x^37+431x^38+500x^39+523x^40+606x^41+567x^42+696x^43+572x^44+700x^45+556x^46+512x^47+413x^48+310x^49+252x^50+152x^51+132x^52+46x^53+83x^54+12x^55+21x^56+2x^57+11x^58+2x^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 5.15 seconds.