The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^14+210x^15+524x^16+1102x^17+2667x^18+4788x^19+7697x^20+10292x^21+10840x^22+10232x^23+7688x^24+4848x^25+2746x^26+1132x^27+454x^28+140x^29+58x^30+22x^31+19x^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 19.2 seconds.