The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 4 2 2 2 1 8 4 1 1 4 2 2 2 4 2 1 1 2 1 2 4 1 4 2 1 0 1 1 8 8 1 2 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 4 12 4 4 8 4 0 8 8 12 12 8 4 4 4 12 0 8 8 0 8 8 4 8 12 4 0 4 8 0 4 0 4 8 0 12 4 12 12 0 4 4 0 12 4 0 0 8 12 0 4 4 0 4 4 8 0 12 8 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 8 12 12 0 4 8 8 4 4 0 12 12 12 8 12 0 0 8 8 8 12 4 12 8 8 4 4 8 8 8 8 0 8 0 12 8 12 12 4 0 12 8 12 12 12 4 4 4 0 8 12 0 8 12 0 4 4 12 4 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 12 4 4 12 0 12 8 12 4 8 8 0 4 0 8 4 4 12 8 4 8 12 4 4 12 0 8 12 12 8 0 12 12 8 8 12 4 12 4 12 12 0 4 4 12 8 12 8 0 12 12 8 4 8 8 4 12 12 4 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 4 4 8 0 12 8 0 12 0 8 8 12 8 4 4 0 0 0 8 12 8 8 12 4 4 0 4 8 0 12 12 4 0 12 0 4 4 4 0 8 4 4 12 0 8 0 4 0 4 12 8 0 0 12 0 0 8 8 4 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 8 8 8 8 8 0 8 0 0 8 8 0 8 0 8 8 0 8 8 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 0 0 8 0 8 0 8 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 8 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 0 8 0 8 0 0 8 0 0 8 8 8 0 0 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+123x^66+495x^68+782x^70+24x^71+1185x^72+296x^73+2429x^74+1272x^75+4356x^76+2504x^77+5858x^78+2504x^79+4601x^80+1272x^81+2238x^82+296x^83+1163x^84+24x^85+667x^86+363x^88+169x^90+111x^92+20x^94+10x^96+1x^98+2x^100+1x^102+1x^108 The gray image is a code over GF(2) with n=624, k=15 and d=264. This code was found by Heurico 1.16 in 36.1 seconds.