The generator matrix

 1  0  1  1  1  1  1
 0  1  1  7 14 16  0
 0  0 15  0 15 10  0
 0  0  0  5 15 15  0

generates a code of length 7 over Z25 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+40x^15+680x^20+1500x^24+924x^25+2500x^28+6000x^29+3820x^30+160x^35

The gray image is a code over GF(5) with n=35, k=6 and d=15.
This code was found by Heurico 1.16 in 0.0105 seconds.