The generator matrix

 1  0  0  1  1  1  1  1  1  1 15  1
 0  1  0 16  7 24 15 21 22  4  1 10
 0  0  1  8  7  1 16 12 14 19 14 22

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

Homogenous weight enumerator: w(x)=1x^0+192x^40+780x^41+360x^42+300x^44+1492x^45+2340x^46+480x^47+1500x^48+1200x^49+2916x^50+3380x^51+660x^52+12x^55+12x^60

The gray image is a code over GF(5) with n=60, k=6 and d=40.
This code was found by Heurico 1.16 in 0.0436 seconds.