The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^38+132x^40+104x^42+82x^44+46x^46+17x^48+28x^50+18x^52+12x^54+6x^56

The gray image is a code over GF(2) with n=86, k=9 and d=38.
This code was found by Heurico 1.16 in 0.0306 seconds.