The generator matrix

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

generates a code of length 12 over Z25 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+16x^40+52x^45+500x^48+32x^50+4x^55+20x^60

The gray image is a code over GF(5) with n=60, k=4 and d=40.
This code was found by Heurico 1.16 in -6.87e-008 seconds.