The generator matrix

 1  0  0  1  1
 0  1  0 16  7
 0  0  1  8  7

generates a code of length 5 over Z25 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+200x^12+40x^15+1000x^16+1600x^17+5540x^20+4000x^21+3200x^22+44x^25

The gray image is a code over GF(5) with n=25, k=6 and d=12.
This code was found by Heurico 1.16 in 0.00589 seconds.