The generator matrix

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

generates a code of length 35 over Z25 who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+720x^123+1700x^124+764x^125+440x^126+2420x^127+6280x^128+6900x^129+3312x^130+2400x^131+6740x^132+18180x^133+19640x^134+8756x^135+7160x^136+17960x^137+38180x^138+37880x^139+16872x^140+12720x^141+28680x^142+48380x^143+40720x^144+14324x^145+7280x^146+11700x^147+18260x^148+10660x^149+1488x^150+56x^155+32x^160+16x^165+4x^170

The gray image is a code over GF(5) with n=175, k=8 and d=123.
This code was found by Heurico 1.16 in 109 seconds.