The generator matrix

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

generates a code of length 23 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+82x^14+278x^16+620x^18+256x^19+1538x^20+1024x^21+3612x^22+1536x^23+3576x^24+1024x^25+1616x^26+256x^27+684x^28+194x^30+65x^32+20x^34+2x^36

The gray image is a code over GF(2) with n=92, k=14 and d=28.
This code was found by Heurico 1.16 in 2.15 seconds.