The generator matrix

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

generates a code of length 18 over Z25 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+132x^55+400x^60+424x^65+520x^70+12500x^72+744x^75+608x^80+260x^85+36x^90

The gray image is a code over GF(5) with n=90, k=6 and d=55.
This code was found by Heurico 1.16 in 0.192 seconds.