The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  1  0  1  1  2  6  1  1  0  1  1  1
 0  1  3  6  1  1  0  3  1  6  5  1  0  3  1  6  0  6  1  5  3  1  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  4  4  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  4  4  0  4  4  0
 0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  0  0  4  0  4  0  4  0  4  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  4  4  0  4  4  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  4  0  0  0  4  0
 0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  4  4  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  4  0  0  0  0  0  0  0  0

generates a code of length 25 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+24x^16+83x^18+40x^19+218x^20+248x^21+748x^22+712x^23+1492x^24+1048x^25+1491x^26+760x^27+740x^28+232x^29+208x^30+24x^31+83x^32+8x^33+25x^34+2x^36+4x^38+1x^42

The gray image is a code over GF(2) with n=100, k=13 and d=32.
This code was found by Heurico 1.16 in 0.55 seconds.