The generator matrix

 1  1  1  1  1  1  1  1  1  1  1
 0  5  0  5 10 10  0  5 10 20 20
 0  0  5 15 10 15 10  5  5 15  0

generates a code of length 11 over Z25 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+60x^40+500x^44+40x^45+4x^50+20x^55

The gray image is a code over GF(5) with n=55, k=4 and d=40.
This code was found by Heurico 1.16 in 3.24e-008 seconds.