The generator matrix 1 0 0 0 1 1 1 6 1 6 4 1 1 6 1 1 1 0 1 1 1 1 1 6 4 1 0 1 0 1 0 0 0 1 1 1 6 1 2 3 5 1 6 3 5 1 0 0 2 2 1 1 0 6 1 0 0 0 1 0 1 1 0 1 0 0 1 3 2 1 1 7 4 1 2 3 0 5 6 2 1 2 5 4 0 0 0 1 1 0 1 1 3 3 3 3 2 2 2 1 2 2 1 4 2 3 1 1 6 4 7 4 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 0 0 4 0 4 4 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 4 0 0 0 0 4 0 4 4 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+112x^20+318x^21+769x^22+1810x^23+2913x^24+5512x^25+6780x^26+9784x^27+9392x^28+9764x^29+7098x^30+5532x^31+2837x^32+1768x^33+696x^34+280x^35+104x^36+46x^37+13x^38+2x^39+1x^40+4x^42 The gray image is a code over GF(2) with n=112, k=16 and d=40. This code was found by Heurico 1.16 in 34 seconds.