The generator matrix

 1  0  1  1  1  0  1  1  4  1  4  1  1  1  1  1  4  1  1  2  1
 0  1  1  0  1  1  0  3  1  4  1  0  4  3  7  1  2  0  5  0  4
 0  0  2  0  0  0  0  2  0  0  0  6  6  6  4  2  4  6  6  2  0
 0  0  0  2  0  0  0  0  2  6  2  4  0  4  6  2  0  2  4  2  0
 0  0  0  0  2  0  0  2  2  2  4  2  4  4  4  2  6  4  0  2  0
 0  0  0  0  0  2  6  0  6  2  0  4  4  2  0  2  0  2  2  6  2
 0  0  0  0  0  0  4  4  0  4  0  0  4  0  4  4  0  0  4  4  0

generates a code of length 21 over Z8 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+38x^13+146x^14+276x^15+606x^16+1252x^17+2160x^18+3720x^19+5184x^20+5752x^21+5414x^22+3832x^23+2212x^24+1228x^25+510x^26+232x^27+120x^28+50x^29+24x^30+4x^31+5x^32+2x^34

The gray image is a code over GF(2) with n=84, k=15 and d=26.
This code was found by Heurico 1.16 in 6.47 seconds.