The generator matrix

 1  0  1  1  1  1
 0  1  1  7  0  0
 0  0 15  0  0  5
 0  0  0  5  0 15
 0  0  0  0  5 15

generates a code of length 6 over Z25 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+60x^10+100x^12+240x^15+1200x^17+8280x^20+4800x^22+25000x^24+31224x^25+6400x^27+820x^30

The gray image is a code over GF(5) with n=30, k=7 and d=10.
This code was found by Heurico 1.16 in 0.17 seconds.