The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1
 0  1  0  0 15 20 16  1 22 18  3 14  6
 0  0  1  0 16 22 14 18 20 23 24 21 13
 0  0  0  1  8 22 16 24  1 17 15  6 10

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

Homogenous weight enumerator: w(x)=1x^0+972x^40+2560x^41+2400x^42+3200x^44+8768x^45+11520x^46+5800x^47+16000x^48+25600x^49+37112x^50+33280x^51+36200x^52+64000x^53+51200x^54+48608x^55+32640x^56+10600x^57+128x^60+36x^65

The gray image is a code over GF(5) with n=65, k=8 and d=40.
This code was found by Heurico 1.16 in 22.7 seconds.