The generator matrix

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

generates a code of length 28 over Z25 who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+352x^100+80x^101+100x^104+1720x^105+360x^106+800x^109+3024x^110+1040x^111+1600x^114+4556x^115+1020x^116+864x^120+56x^125+24x^130+20x^135+8x^140

The gray image is a code over GF(5) with n=140, k=6 and d=100.
This code was found by Heurico 1.16 in 0.175 seconds.