The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16  7 14  0  7  5
 0  0 15  0 15 10  0 20 10 20 20 10 15
 0  0  0  5 15  5 10 15  0 10 20 20 20

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

Homogenous weight enumerator: w(x)=1x^0+56x^40+80x^41+200x^44+408x^45+360x^46+1000x^48+1600x^49+1092x^50+1040x^51+4000x^53+3200x^54+1388x^55+1020x^56+148x^60+32x^65

The gray image is a code over GF(5) with n=65, k=6 and d=40.
This code was found by Heurico 1.16 in 0.0586 seconds.