The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 0 4 1 2 4 1 2 2 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 2 4 0 4 2 0 2 0 6 2 2 6 0 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 0 6 6 6 2 6 0 0 2 6 2 4 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 0 2 0 2 4 4 0 4 4 4 2 2 4 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 4 0 4 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 0 4 0 0 4 0 4 4 0 4 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 4 0 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 0 0 4 4 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+108x^20+298x^22+32x^23+700x^24+288x^25+1240x^26+704x^27+1461x^28+704x^29+1244x^30+288x^31+688x^32+32x^33+280x^34+110x^36+10x^38+2x^40+1x^44+1x^48 The gray image is a code over GF(2) with n=112, k=13 and d=40. This code was found by Heurico 1.16 in 1.2 seconds.