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 2 2 2 4 2 2 2 4 2 1 2 1 2 1 4 2 1 4 1 2 4 4 2 4 0 1 2 2 1 1 4 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 12 12 8 4 0 12 4 12 0 8 8 4 4 12 4 12 0 0 4 0 12 0 8 4 12 4 0 12 4 12 12 8 8 0 12 8 0 8 12 4 12 12 12 4 8 0 0 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 8 0 4 4 4 12 12 8 0 12 0 8 0 4 0 4 12 12 4 0 12 8 8 12 0 12 8 0 0 0 8 8 8 4 12 8 0 0 8 4 12 8 4 8 4 12 4 0 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 0 12 8 4 12 12 0 4 0 0 0 4 4 12 0 8 4 8 4 12 8 0 4 12 4 12 4 8 8 4 8 8 8 8 0 12 4 12 4 12 4 0 0 0 12 4 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 0 8 8 0 8 0 8 8 0 0 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 0 0 8 8 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 0 0 8 8 0 0 8 0 8 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 0 8 8 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 8 8 0 0 8 0 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 8 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 0 0 0 8 8 0 0 0 0 8 0 8 8 0 0 8 8 8 0 8 8 0 0 8 0 8 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 0 8 0 8 8 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+71x^56+92x^57+162x^58+248x^59+424x^60+412x^61+637x^62+852x^63+1916x^64+2040x^65+2968x^66+4526x^67+3898x^68+4640x^69+3486x^70+2040x^71+1495x^72+772x^73+688x^74+420x^75+312x^76+196x^77+186x^78+100x^79+67x^80+40x^81+52x^82+6x^83+6x^84+10x^86+2x^88+2x^90+1x^94 The gray image is a code over GF(2) with n=544, k=15 and d=224. This code was found by Heurico 1.16 in 29.9 seconds.