The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  0  0  0  0  0  0  0  1  1  1  1  1  1  1  1  2  1  1
 0  2  0  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  2  2  0  0  0
 0  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  0
 0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  0

generates a code of length 41 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+7x^40+16x^42+7x^44+1x^52

The gray image is a code over GF(2) with n=82, k=5 and d=40.
This code was found by Heurico 1.16 in 0.00732 seconds.