The generator matrix

 1  0  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1 10  1  1
 0  1  0  1  7 24 15 14  1 22  1 15  7 18 14 18 22  0 20  3  4 19  1  8  5
 0  0  1 18  7  1 14  8  1 14 18 16  0 10 22 13 18 15  2 22 18  7 17  2 10
 0  0  0 15 20  0  5 20  5 15 20 10  5 10 15  0 10  5 10  5 10  0 10  0 15

generates a code of length 25 over Z25 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+220x^86+440x^87+140x^88+160x^89+1700x^90+1420x^91+2240x^92+1680x^93+720x^94+3508x^95+3920x^96+4340x^97+6720x^98+2080x^99+8744x^100+8020x^101+7340x^102+8960x^103+2040x^104+6532x^105+3920x^106+3140x^107+72x^110+32x^115+24x^120+12x^125

The gray image is a code over GF(5) with n=125, k=7 and d=86.
This code was found by Heurico 1.16 in 20.6 seconds.