The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1
 0  5  0  0  5  5  0  5 10 20 15  5  0  5 10  5  0
 0  0  5  0 15 10  5 20  0  5  5 15 10 15 20  0  0
 0  0  0  5 15  5 20 15 15 15  0  5  5  0 20  5  5

generates a code of length 17 over Z25 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+48x^55+156x^60+500x^64+108x^65+2000x^69+108x^70+112x^75+60x^80+32x^85

The gray image is a code over GF(5) with n=85, k=5 and d=55.
This code was found by Heurico 1.16 in 0.00887 seconds.