The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^14+118x^15+243x^16+374x^17+679x^18+1146x^19+1726x^20+2418x^21+2727x^22+2486x^23+1763x^24+1214x^25+681x^26+334x^27+221x^28+86x^29+59x^30+12x^31+13x^32+4x^33+4x^34+1x^36

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 2.76 seconds.