The generator matrix

 1  0  1  1  1  0  1  1  4  1  1  0  1  2  1  1  1  1  6  1  4  1
 0  1  1  0  1  1  3  0  1  0  5  1  3  1  0  7  5  1  1  4  0  0
 0  0  2  0  0  0  0  6  0  2  6  6  0  6  4  0  6  2  2  4  2  0
 0  0  0  2  0  6  2  6  0  2  0  0  4  4  6  6  6  6  6  4  0  0
 0  0  0  0  2  0  2  6  2  0  2  6  4  0  6  0  0  2  4  6  6  0
 0  0  0  0  0  4  0  0  4  0  0  4  4  4  4  0  0  0  0  4  4  4
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  4  4  4  0  4
 0  0  0  0  0  0  0  4  4  4  0  0  4  0  4  4  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+64x^14+128x^15+306x^16+544x^17+1194x^18+2114x^19+3849x^20+5366x^21+5552x^22+5426x^23+3868x^24+2198x^25+1188x^26+502x^27+286x^28+82x^29+64x^30+22x^31+9x^32+2x^33+2x^34+1x^36

The gray image is a code over GF(2) with n=88, k=15 and d=28.
This code was found by Heurico 1.16 in 6.82 seconds.