The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 1 1 1 1 1 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 0 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 0 0 4 4 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 0 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 4 0 0 0 0 0 0 0 generates a code of length 28 over Z8 who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+181x^16+404x^20+1076x^24+1024x^26+10980x^28+1024x^30+1143x^32+380x^36+156x^40+12x^44+3x^48 The gray image is a code over GF(2) with n=112, k=14 and d=32. This code was found by Heurico 1.16 in 3.15 seconds.