The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+792x^40+4912x^45+9696x^50+192x^55+32x^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 1.35 seconds.