The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+13x^40+38x^41+23x^42+12x^43+11x^44+4x^45+3x^46+4x^47+6x^48+4x^49+5x^50+1x^52+1x^54+2x^57

The gray image is a code over GF(2) with n=86, k=7 and d=40.
This code was found by Heurico 1.10 in 0 seconds.