The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  1  0  4  2  1  1  4  4  2  1
 0  2  0  0  0  0  0  0  4  2  6  2  2  4  0  6  2  2  2  4  0
 0  0  2  0  0  0  2  6  6  2  2  0  4  0  4  0  0  4  6  0  4
 0  0  0  2  0  2  2  6  0  0  4  2  4  2  4  4  4  6  6  2  4
 0  0  0  0  2  2  0  6  2  4  6  4  0  6  6  2  6  4  2  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  0  4  0  0  4
 0  0  0  0  0  0  0  4  4  0  4  4  4  0  4  4  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^13+133x^14+228x^15+398x^16+600x^17+1161x^18+1788x^19+2380x^20+2800x^21+2422x^22+1892x^23+1212x^24+612x^25+358x^26+180x^27+100x^28+34x^29+21x^30+8x^31+5x^32+4x^33+1x^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 2.27 seconds.