The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+63x^34+104x^35+175x^36+204x^37+237x^38+270x^39+245x^40+306x^41+275x^42+302x^43+329x^44+298x^45+310x^46+250x^47+215x^48+198x^49+113x^50+98x^51+46x^52+18x^53+21x^54+11x^56+5x^58+1x^60+1x^68

The gray image is a code over GF(2) with n=86, k=12 and d=34.
This code was found by Heurico 1.16 in 1.32 seconds.