The generator matrix

 1  0  1  1  1  1  1  1  1  1  0
 0  1  1  7 14 18  0 16 18 14  1
 0  0 15  0 15 10  0 20 20 15  5
 0  0  0  5 15  5 10 15 20 20  0

generates a code of length 11 over Z25 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+136x^35+500x^36+616x^40+4000x^41+2156x^45+8000x^46+160x^50+56x^55

The gray image is a code over GF(5) with n=55, k=6 and d=35.
This code was found by Heurico 1.16 in 0.0453 seconds.