The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+177x^36+282x^38+317x^40+276x^42+320x^44+248x^46+205x^48+124x^50+63x^52+30x^54+5x^56

The gray image is a code over GF(2) with n=86, k=11 and d=36.
This code was found by Heurico 1.16 in 0.598 seconds.