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 2 1 2 2 2 1 2 4 1 1 1 0 1 1 1 2 1 4 1 0 1 2 1 1 4 2 1 0 1 1 1 1 4 2 1 4 1 1 1 2 1 2 1 1 2 1 1 0 12 0 12 0 12 0 12 0 12 0 4 12 0 12 0 12 0 12 0 12 8 0 4 0 12 8 12 12 12 4 12 12 12 4 8 4 12 4 8 12 12 12 0 4 8 12 4 12 12 12 4 4 8 0 8 12 0 8 0 12 12 8 4 12 12 8 0 8 12 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 0 8 0 0 8 0 0 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 8 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 0 8 0 8 8 8 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 8 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 8 0 8 0 8 0 0 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 0 8 8 8 0 0 8 8 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 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 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 8 8 0 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 0 0 8 8 8 0 0 8 8 8 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 8 8 0 0 0 0 8 8 8 0 0 8 8 0 0 0 8 0 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 0 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 0 0 0 0 0 8 0 8 0 0 8 8 8 8 0 8 0 8 0 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+75x^56+16x^58+281x^60+4x^61+188x^62+12x^63+627x^64+124x^65+716x^66+340x^67+1728x^68+1640x^69+4008x^70+4024x^71+5379x^72+4024x^73+3548x^74+1640x^75+2221x^76+340x^77+556x^78+124x^79+579x^80+12x^81+164x^82+4x^83+259x^84+16x^86+84x^88+4x^90+22x^92+5x^96+1x^100+2x^104 The gray image is a code over GF(2) with n=576, k=15 and d=224. This code was found by Heurico 1.16 in 33.2 seconds.