The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^13+102x^14+82x^15+254x^16+792x^17+1078x^18+2408x^19+1444x^20+3604x^21+2040x^22+2492x^23+836x^24+696x^25+344x^26+136x^27+12x^28+6x^29+18x^30+2x^31+13x^32+2x^34

The gray image is a code over GF(2) with n=84, k=14 and d=26.
This code was found by Heurico 1.16 in 38.4 seconds.