The generator matrix 1 0 1 1 1 0 1 1 0 1 2 1 1 1 0 1 1 1 4 1 1 1 1 2 1 4 2 1 0 1 1 0 1 1 4 3 1 6 1 7 5 2 1 0 0 7 1 5 6 1 4 0 1 1 4 0 0 0 2 0 0 0 0 0 0 0 0 4 2 6 6 2 4 6 2 4 6 6 6 2 6 2 2 0 0 0 0 2 0 0 0 0 2 6 6 6 4 0 4 4 2 6 6 2 6 4 0 0 4 6 6 0 0 0 0 0 2 0 4 6 0 4 0 2 6 6 0 4 2 6 4 0 2 2 4 6 0 2 2 0 0 0 0 0 0 2 6 6 6 2 4 2 0 2 2 2 4 0 2 2 6 6 4 0 6 4 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+85x^20+104x^21+290x^22+436x^23+781x^24+1192x^25+1757x^26+2390x^27+2315x^28+2360x^29+1826x^30+1166x^31+808x^32+424x^33+238x^34+98x^35+72x^36+16x^37+16x^38+6x^39+2x^40+1x^42 The gray image is a code over GF(2) with n=112, k=14 and d=40. This code was found by Heurico 1.16 in 3.39 seconds.