The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+96x^38+42x^40+68x^42+18x^44+16x^46+1x^48+6x^50+2x^52+4x^54+2x^58

The gray image is a code over GF(2) with n=82, k=8 and d=38.
This code was found by Heurico 1.16 in 0.226 seconds.