The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+37x^18+36x^19+139x^20+140x^21+285x^22+460x^23+783x^24+1272x^25+1718x^26+2176x^27+2232x^28+2192x^29+1754x^30+1296x^31+833x^32+456x^33+257x^34+124x^35+91x^36+36x^37+41x^38+4x^39+15x^40+4x^42+2x^44

The gray image is a code over GF(2) with n=112, k=14 and d=36.
This code was found by Heurico 1.16 in 3.76 seconds.