The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+128x^35+148x^40+2500x^44+108x^45+192x^50+48x^55

The gray image is a code over GF(5) with n=55, k=5 and d=35.
This code was found by Heurico 1.16 in 0.00421 seconds.