The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+37x^38+64x^39+63x^40+74x^41+44x^42+42x^43+40x^44+24x^45+29x^46+20x^47+14x^48+12x^49+10x^50+10x^51+6x^52+8x^54+8x^55+4x^56+2x^57

The gray image is a code over GF(2) with n=86, k=9 and d=38.
This code was found by Heurico 1.10 in 0 seconds.