The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 10  1  1  1  1 20
 0  1 16  7 14 18  5 16  7 21 12 19 23  1 10  9 11 17  3 20  4 13  6  2 15 24  8 21 22  1  1  0  5 12  1

generates a code of length 35 over Z25 who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+120x^137+80x^139+212x^140+180x^142+20x^144+8x^150+4x^155

The gray image is a code over GF(5) with n=175, k=4 and d=137.
This code was found by Heurico 1.16 in 0.203 seconds.