The generator matrix

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

generates a code of length 22 over Z8 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+37x^14+82x^15+150x^16+186x^17+394x^18+622x^19+968x^20+1146x^21+967x^22+1170x^23+1040x^24+638x^25+356x^26+170x^27+136x^28+78x^29+35x^30+4x^31+9x^32+2x^34+1x^38

The gray image is a code over GF(2) with n=88, k=13 and d=28.
This code was found by Heurico 1.16 in 0.651 seconds.