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 2 2 2 4 1 1 1 2 1 2 2 1 2 2 1 4 1 1 1 0 8 1 2 1 2 1 2 1 2 2 1 1 4 2 2 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 8 12 12 0 12 4 8 4 0 12 8 12 0 12 8 12 8 12 0 0 4 4 0 0 4 4 8 0 4 4 4 12 12 12 12 12 12 0 8 8 4 12 12 0 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 8 4 0 12 0 12 8 4 4 4 12 12 8 0 0 0 12 12 8 12 0 4 0 8 8 8 0 8 12 4 8 12 4 0 8 12 8 8 12 12 12 8 4 0 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 4 4 4 12 8 0 8 8 12 12 12 12 4 8 12 0 0 4 4 8 12 8 0 4 8 8 8 4 8 0 12 0 0 8 4 12 8 12 8 8 0 8 12 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 8 8 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 8 8 0 0 0 8 8 0 0 0 8 0 8 0 0 8 8 8 0 8 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 0 8 0 0 8 0 0 8 8 8 0 8 0 8 0 8 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 0 8 8 0 8 8 0 0 8 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 8 0 0 8 8 0 0 8 8 8 8 8 8 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+46x^56+54x^57+129x^58+184x^59+249x^60+310x^61+426x^62+504x^63+792x^64+1684x^65+2941x^66+2760x^67+1548x^68+1714x^69+1337x^70+462x^71+294x^72+260x^73+193x^74+150x^75+111x^76+64x^77+79x^78+34x^79+27x^80+10x^81+9x^82+2x^83+4x^84+5x^86+1x^94 The gray image is a code over GF(2) with n=536, k=14 and d=224. This code was found by Heurico 1.16 in 7.96 seconds.