The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^14+156x^15+303x^16+392x^17+751x^18+1352x^19+1485x^20+2184x^21+2909x^22+2208x^23+1570x^24+1368x^25+798x^26+376x^27+210x^28+152x^29+74x^30+4x^31+14x^32+3x^34+1x^36+1x^38

The gray image is a code over GF(2) with n=88, k=14 and d=28.
This code was found by Heurico 1.16 in 4.99 seconds.