The generator matrix 1 0 0 1 1 1 6 1 1 1 1 4 2 2 1 1 0 1 2 1 1 1 4 1 1 6 1 1 0 1 0 1 6 3 1 0 1 4 1 1 1 2 7 2 1 6 1 3 1 3 1 4 2 1 6 2 0 0 1 1 3 6 3 6 3 1 2 2 1 1 1 2 7 0 1 3 1 7 1 2 1 0 3 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 4 0 4 4 4 4 0 0 0 0 0 4 0 0 0 0 4 0 4 4 4 4 4 0 0 4 4 0 4 4 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 20. Homogenous weight enumerator: w(x)=1x^0+117x^20+92x^21+450x^22+568x^23+2076x^24+1960x^25+4256x^26+3544x^27+6634x^28+3488x^29+4356x^30+1960x^31+2056x^32+600x^33+400x^34+72x^35+113x^36+4x^37+10x^38+10x^40+1x^48 The gray image is a code over GF(2) with n=112, k=15 and d=40. This code was found by Heurico 1.16 in 15 seconds.