The generator matrix 1 1 1 1 1 1 1 1 1 2 1 2 2 4 2 1 1 2 2 1 4 4 2 1 1 4 1 4 0 2 0 0 0 2 6 2 0 4 4 0 2 2 0 2 4 6 0 0 0 2 6 4 0 4 2 2 0 0 2 0 2 2 6 0 0 0 6 6 6 4 2 2 4 2 2 0 2 4 2 4 2 2 4 6 0 0 0 2 2 0 6 2 0 2 2 4 4 6 2 4 6 6 2 6 2 2 6 4 0 6 6 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 0 0 0 0 4 0 0 4 0 4 0 0 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 4 0 4 0 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 0 4 4 4 4 0 4 4 0 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 19. Homogenous weight enumerator: w(x)=1x^0+58x^19+122x^20+186x^21+368x^22+522x^23+840x^24+1254x^25+1666x^26+2040x^27+2156x^28+2096x^29+1736x^30+1304x^31+875x^32+520x^33+300x^34+158x^35+90x^36+38x^37+24x^38+14x^39+12x^40+2x^41+2x^42 The gray image is a code over GF(2) with n=112, k=14 and d=38. This code was found by Heurico 1.16 in 6.52 seconds.