The generator matrix

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

generates a code of length 34 over Z25 who´s minimum homogenous weight is 125.

Homogenous weight enumerator: w(x)=1x^0+96x^125+212x^130+500x^132+100x^135+2000x^137+88x^140+40x^145+32x^150+12x^155+24x^160+16x^165+4x^170

The gray image is a code over GF(5) with n=170, k=5 and d=125.
This code was found by Heurico 1.16 in 0.0245 seconds.