The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^38+26x^40+36x^42+20x^44+8x^46+1x^80

The gray image is a code over GF(2) with n=82, k=7 and d=38.
This code was found by Heurico 1.16 in 0.0214 seconds.