The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+116x^38+23x^40+70x^42+20x^46+7x^48+16x^50+1x^56+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 18.6 seconds.