The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+181x^36+264x^38+332x^40+296x^42+296x^44+244x^46+207x^48+128x^50+67x^52+28x^54+4x^56

The gray image is a code over GF(2) with n=86, k=11 and d=36.
This code was found by Heurico 1.10 in 0.141 seconds.