The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^34+26x^35+91x^36+72x^37+132x^38+136x^39+139x^40+184x^41+133x^42+188x^43+130x^44+184x^45+116x^46+136x^47+111x^48+72x^49+68x^50+26x^51+27x^52+16x^54+13x^56+9x^58

The gray image is a code over GF(2) with n=86, k=11 and d=34.
This code was found by Heurico 1.16 in 0.429 seconds.