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 2 0 8 2 8 2 1 1 1 2 1 1 12 4 2 0 1 2 1 1 1 4 1 1 1 1 2 1 2 1 1 2 1 2 2 1 0 2 2 1 1 2 8 2 1 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 4 10 2 8 2 12 10 12 14 2 2 2 2 6 8 14 6 6 12 10 2 2 6 2 12 14 4 8 0 2 12 2 14 14 2 12 14 10 6 10 0 2 8 4 2 4 8 6 0 2 4 0 0 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 4 12 8 12 8 0 8 12 8 4 4 4 12 8 12 8 12 12 0 8 0 0 0 12 0 4 4 8 0 12 8 4 8 12 12 0 12 8 8 8 0 0 12 4 12 8 4 4 4 12 4 4 4 0 0 0 0 12 0 0 0 4 12 4 12 8 4 8 12 4 0 0 8 12 12 0 12 12 0 12 0 8 12 4 12 4 0 0 4 4 8 4 12 8 0 8 12 8 8 4 12 12 8 0 12 4 4 12 0 8 12 8 4 8 8 0 8 4 12 8 8 4 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 0 0 8 8 0 8 0 8 8 0 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 0 8 0 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 0 0 8 0 8 8 0 0 8 0 8 8 8 0 0 0 0 0 8 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 8 0 8 0 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 0 8 0 8 0 0 0 8 0 8 8 8 8 0 8 0 0 8 0 0 generates a code of length 69 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+33x^58+86x^59+224x^60+326x^61+389x^62+714x^63+1052x^64+1674x^65+2473x^66+3340x^67+4066x^68+4210x^69+4075x^70+3270x^71+2405x^72+1686x^73+1030x^74+656x^75+354x^76+252x^77+153x^78+104x^79+69x^80+40x^81+31x^82+22x^83+20x^84+4x^85+7x^86+1x^88+1x^90 The gray image is a code over GF(2) with n=552, k=15 and d=232. This code was found by Heurico 1.16 in 24.3 seconds.