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.