The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16  7 14 18  1  0 14 18  1 16  1 23  5 23 20  8 10  0 23  7 23  5 16 18  5 12 19 17
 0  0 15  0 15 10  0 20 10 20  5 15 10  0 15 15 15  5 10  5  5 15 20 10  5  5 10 20 15 10 20 15 20 20 10
 0  0  0  5 15  5 10 15  0 10 15  5 10 15  5 15 20 20 15  0 10 10  0  5 20  5 10 15  5 15 20  0  0  5 20

generates a code of length 35 over Z25 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+720x^129+332x^130+2180x^134+672x^135+4140x^139+1112x^140+4800x^144+848x^145+660x^149+48x^150+56x^155+36x^160+16x^165+4x^175

The gray image is a code over GF(5) with n=175, k=6 and d=129.
This code was found by Heurico 1.16 in 24.4 seconds.