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 1 1 1 1 1 2 2 1 1 4 2 4 4 8 4 1 4 1 2 1 2 1 0 4 1 1 1 8 2 1 1 2 1 1 1 1 0 12 0 0 0 0 0 0 0 0 0 8 8 4 4 4 4 4 12 4 0 12 4 12 0 8 12 4 4 4 12 0 12 12 12 12 8 4 0 8 12 4 0 12 4 4 4 12 8 4 0 12 0 0 8 4 4 8 0 12 12 4 4 8 4 8 8 8 8 8 0 0 4 4 4 4 12 8 0 0 12 0 0 0 0 0 0 0 4 4 4 0 12 4 12 8 8 4 4 0 8 4 4 4 12 8 4 12 0 4 12 8 4 8 12 0 8 8 12 12 4 0 4 0 8 8 4 12 4 0 8 0 8 8 4 0 0 8 12 0 12 0 12 0 8 4 8 4 8 12 12 12 4 8 4 4 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 0 12 12 12 12 12 8 8 0 8 8 12 4 0 4 12 12 4 4 0 0 4 12 8 4 12 8 4 8 4 0 12 4 8 0 4 12 12 4 8 8 8 12 4 12 12 12 4 4 8 12 8 0 4 8 12 8 0 12 0 8 8 4 0 0 0 0 12 0 4 4 4 0 8 0 8 8 12 4 4 0 4 8 4 4 4 8 4 4 12 4 8 0 8 12 4 8 12 12 4 0 12 4 12 8 12 8 0 0 4 0 8 0 4 4 4 12 4 12 12 0 4 12 4 8 12 12 12 8 8 0 4 4 0 12 12 8 0 0 12 4 0 0 0 0 0 12 4 8 4 4 0 4 4 4 12 8 8 8 4 4 12 12 0 12 4 8 12 0 0 8 12 0 4 0 4 4 4 12 0 4 0 4 4 0 8 12 4 4 8 8 0 0 0 8 8 8 12 0 0 0 12 8 0 12 0 12 8 8 0 0 8 4 0 8 12 8 12 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 0 0 8 0 8 0 0 8 8 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+134x^66+440x^68+642x^70+108x^71+937x^72+452x^73+1783x^74+1692x^75+3816x^76+3924x^77+5142x^78+3844x^79+3783x^80+1676x^81+1701x^82+500x^83+942x^84+92x^85+488x^86+365x^88+195x^90+73x^92+24x^94+10x^96+3x^98+1x^124 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 35.9 seconds.