The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^40+2x^48+1x^64

The gray image is a code over GF(2) with n=80, k=6 and d=40.
This code was found by Heurico 1.16 in 4.74 seconds.