The generator matrix

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

generates a code of length 5 over Z25 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+200x^8+40x^10+3000x^12+2400x^13+120x^15+32500x^16+24000x^17+9600x^18+127760x^20+130000x^21+48000x^22+12800x^23+204x^25

The gray image is a code over GF(5) with n=25, k=8 and d=8.
This code was found by Heurico 1.16 in 2.18 seconds.