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 8 8 2 2 2 2 4 2 12 1 1 1 1 1 1 1 2 1 0 1 1 2 1 4 2 1 1 12 2 1 2 1 2 1 2 1 0 2 1 2 12 12 2 1 1 0 2 0 2 0 0 6 6 4 14 2 4 12 14 2 12 2 4 4 10 14 6 12 0 10 12 8 4 2 6 10 4 14 2 14 2 0 8 2 6 4 4 10 14 8 2 6 0 0 10 2 10 12 2 8 12 2 0 14 6 8 14 14 4 10 14 4 2 2 10 8 0 0 0 2 2 12 6 6 0 4 4 14 2 0 2 12 6 10 4 2 4 2 0 10 0 0 8 2 2 12 8 0 2 2 2 10 14 6 6 12 14 8 2 6 4 8 8 12 2 10 14 2 14 6 4 2 10 12 10 12 0 0 8 0 2 6 6 10 14 10 0 2 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 0 0 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 8 0 8 8 8 0 8 0 8 0 0 0 8 0 8 8 0 8 0 0 8 0 8 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 8 0 0 0 0 8 8 8 0 0 0 8 0 8 8 0 0 8 0 0 8 0 0 8 8 0 0 0 8 8 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 8 0 0 8 8 8 0 0 0 8 0 8 8 8 8 8 8 0 0 8 0 0 8 8 0 0 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 0 8 0 8 8 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 0 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+73x^62+168x^63+259x^64+590x^65+759x^66+1346x^67+1689x^68+2394x^69+3108x^70+4246x^71+3711x^72+4286x^73+3030x^74+2350x^75+1709x^76+1242x^77+594x^78+534x^79+270x^80+168x^81+103x^82+56x^83+31x^84+20x^85+8x^86+4x^87+7x^88+4x^89+4x^90+3x^92+1x^94 The gray image is a code over GF(2) with n=576, k=15 and d=248. This code was found by Heurico 1.16 in 22.5 seconds.