The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^14+186x^15+394x^16+1250x^17+2361x^18+4648x^19+7727x^20+10240x^21+11606x^22+10356x^23+7850x^24+4732x^25+2276x^26+1176x^27+400x^28+160x^29+64x^30+18x^31+11x^32+2x^33+3x^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 21.4 seconds.