The generator matrix 1 0 1 1 1 0 1 1 0 1 1 1 4 1 1 6 1 2 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 7 1 0 3 3 1 0 5 1 7 1 1 2 6 6 1 7 2 4 4 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 6 4 4 4 2 6 2 2 6 4 4 2 0 0 0 0 2 0 0 0 2 0 4 2 6 6 4 2 4 6 4 4 6 6 6 4 6 6 0 0 0 0 0 0 0 2 0 0 0 2 4 6 0 6 2 4 2 4 0 4 6 4 2 4 2 6 6 2 0 0 0 0 0 0 2 0 2 2 2 4 4 2 4 4 4 4 4 2 2 6 6 2 4 2 0 2 0 0 0 0 0 0 0 2 2 4 2 0 2 0 0 4 4 0 6 2 6 6 0 6 6 0 4 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+66x^18+110x^19+337x^20+392x^21+848x^22+1326x^23+2804x^24+4662x^25+7180x^26+9844x^27+10272x^28+9906x^29+7214x^30+4746x^31+2825x^32+1342x^33+856x^34+340x^35+255x^36+78x^37+90x^38+16x^39+18x^40+4x^41+2x^42+2x^43 The gray image is a code over GF(2) with n=112, k=16 and d=36. This code was found by Heurico 1.16 in 43.8 seconds.