The generator matrix

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

generates a code of length 21 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+59x^14+197x^16+128x^17+749x^18+768x^19+1509x^20+1280x^21+1606x^22+768x^23+806x^24+128x^25+130x^26+42x^28+15x^30+4x^32+1x^34+1x^36

The gray image is a code over GF(2) with n=84, k=13 and d=28.
This code was found by Heurico 1.16 in 5.47 seconds.