The generator matrix

 1  0  1  1  1  1  1  1  1  1  0  1  0  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 24 18 16  0  7 14  1 18  1 18  7 14  0 23 16  1  0  7 18  5 16 14 16 10 23 12 14  5 19 14  0
 0  0 15  0  0  0  0  5  5 15 15  5 10 10  5  5  0 15 20 10  5 10  0 15  5 10  5  5 10 10 10 10  5  0  0
 0  0  0  5  0  5 15 15 10  5 15 15 15  5  0 20  5  0  5 20 15 15 15 15 10 10 20 20 20 15 10  0  0 10 20
 0  0  0  0 15 15 10 15 20  0 20  5 15 10 15  5 10  5  5 20 20  5 15 20  5 15 10 15  0 10  0 10 10  0 10

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

Homogenous weight enumerator: w(x)=1x^0+128x^120+20x^122+120x^123+20x^124+568x^125+240x^126+480x^127+660x^128+320x^129+1760x^130+1040x^131+1380x^132+1760x^133+1920x^134+5444x^135+2940x^136+3280x^137+3560x^138+5120x^139+10732x^140+5040x^141+4780x^142+4360x^143+5120x^144+8620x^145+3240x^146+2560x^147+2040x^148+316x^150+340x^155+156x^160+48x^165+12x^170

The gray image is a code over GF(5) with n=175, k=7 and d=120.
This code was found by Heurico 1.16 in 5.31 seconds.