The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  5  1  1  1
 0  1  1  7 14 18  0 16  7 14 18  1  0 14 18  1 16  7 23 19  1  5 16 12
 0  0 15  0 15 10  0 20 10 20  5 15 10  0 15 15 15  0  5  5  5  5 10 10
 0  0  0  5 15  5 10 15  0 10 15  5 10 15  5 15 20 10  0  5  0  0 20 15

generates a code of length 24 over Z25 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+592x^85+2312x^90+6356x^95+6216x^100+72x^105+40x^110+20x^115+16x^120

The gray image is a code over GF(5) with n=120, k=6 and d=85.
This code was found by Heurico 1.16 in 0.14 seconds.