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

generates a code of length 35 over Z25 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+112x^120+388x^125+452x^130+500x^132+504x^135+4000x^137+400x^140+8000x^142+320x^145+436x^150+288x^155+136x^160+80x^165+8x^170

The gray image is a code over GF(5) with n=175, k=6 and d=120.
This code was found by Heurico 1.16 in 0.5 seconds.