The generator matrix

 1  0  0  1  1
 0  1  0  1  7
 0  0  1 18  7
 0  0  0 15 20

generates a code of length 5 over Z25 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+40x^10+1000x^12+120x^15+5000x^16+8000x^17+27760x^20+20000x^21+16000x^22+204x^25

The gray image is a code over GF(5) with n=25, k=7 and d=10.
This code was found by Heurico 1.16 in 0.139 seconds.