The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  5  1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1  1  1  1  1 20
 0  1  1  7 14 18  0 16  7  1 16  1  5 14 18  5 12 19 23 11 12 19 23  1 15 11  8 10 10  9 24 15 17  1
 0  0 15 10  5  0 20 10  5 10 20  5 15  0 10  5 20 10 15  5  0 15 20 20 10  0  5  0 20  5 10  5  0 10

generates a code of length 34 over Z25 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+80x^129+40x^130+760x^131+260x^132+260x^134+32x^135+480x^136+80x^137+40x^139+20x^140+760x^141+160x^142+120x^144+28x^145+4x^155

The gray image is a code over GF(5) with n=170, k=5 and d=129.
This code was found by Heurico 1.16 in 0.0128 seconds.