The generator matrix

 1  0  0  1  1  1  1  1
 0  1  0 16  7 24 15  1
 0  0  1  8  7  1 16  4

generates a code of length 8 over Z25 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+260x^24+320x^25+700x^28+2080x^29+952x^30+3000x^32+2800x^33+4160x^34+1328x^35+24x^40

The gray image is a code over GF(5) with n=40, k=6 and d=24.
This code was found by Heurico 1.16 in 0.0221 seconds.