The generator matrix

 1  0  0  0  1  1  1  6  1  1  1  1  0  6  0  1  4  1  0  4  0  1
 0  1  0  0  2  1  3  1  2  2  7  7  1  0  1  5  1  4  6  1  1  0
 0  0  1  0  3  1  6  3  0  1  1  0  2  1  3  0  1  1  1  6  1  0
 0  0  0  1  1  6  3  3  1  0  3  2  1  3  0  0  3  7  0  7  1  0
 0  0  0  0  4  0  0  0  0  4  0  4  0  4  4  4  4  4  0  0  4  0
 0  0  0  0  0  4  0  0  4  4  4  4  0  4  0  0  0  0  0  4  4  0
 0  0  0  0  0  0  4  0  4  0  4  0  4  0  4  0  0  4  0  4  4  4
 0  0  0  0  0  0  0  4  4  0  4  4  4  4  4  0  4  0  4  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+35x^14+162x^15+401x^16+1190x^17+2548x^18+4826x^19+7777x^20+10174x^21+11230x^22+10230x^23+7818x^24+4882x^25+2528x^26+1150x^27+382x^28+138x^29+39x^30+16x^31+4x^32+4x^34+1x^36

The gray image is a code over GF(2) with n=88, k=16 and d=28.
This code was found by Heurico 1.16 in 18.8 seconds.