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 2 0 1 1 2 1 8 1 8 2 1 1 2 1 4 2 1 1 2 1 1 1 2 1 2 1 1 2 4 1 4 8 1 12 4 1 1 12 0 1 1 1 0 2 0 6 4 6 12 2 6 14 8 12 2 10 0 12 0 6 4 14 8 14 6 2 12 14 10 4 2 2 2 6 12 14 10 8 2 14 2 12 14 4 10 2 2 6 6 14 10 2 2 0 2 2 0 2 12 6 12 2 2 14 12 10 0 0 12 0 4 0 0 8 4 12 0 4 4 4 4 0 8 0 0 8 12 4 4 4 12 4 12 0 4 8 8 8 8 0 8 4 0 8 12 8 8 4 12 12 8 8 0 0 0 4 0 12 12 8 4 4 8 8 8 0 12 0 8 12 0 0 0 12 0 0 0 12 4 8 12 12 0 12 4 12 8 0 4 12 8 8 12 4 4 4 4 8 0 12 12 0 4 4 0 4 12 4 4 4 4 4 0 4 4 8 8 4 4 4 4 4 8 12 0 12 12 0 12 8 4 8 4 4 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 8 0 0 8 0 8 8 8 0 8 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 0 0 8 0 8 0 8 8 8 0 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 8 0 8 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 0 8 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 8 8 8 0 0 8 8 0 8 8 8 0 8 8 8 0 0 8 0 8 0 8 8 0 generates a code of length 64 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+190x^56+96x^57+432x^58+492x^59+1064x^60+1060x^61+1856x^62+1900x^63+2335x^64+1956x^65+1762x^66+1124x^67+958x^68+460x^69+336x^70+68x^71+140x^72+12x^73+76x^74+40x^76+16x^78+4x^80+2x^82+2x^84+2x^88 The gray image is a code over GF(2) with n=512, k=14 and d=224. This code was found by Heurico 1.16 in 6.16 seconds.