The generator matrix

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

generates a code of length 13 over Z25 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+64x^40+156x^45+500x^48+100x^50+2000x^53+96x^55+176x^60+32x^65

The gray image is a code over GF(5) with n=65, k=5 and d=40.
This code was found by Heurico 1.16 in 0.00566 seconds.