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 2 1 2 1 1 2 1 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 4 4 2 1 1 1 2 2 2 1 4 2 1 1 1 1 0 12 0 4 0 0 4 12 0 8 4 4 0 12 12 8 8 12 0 4 4 0 4 8 4 0 4 8 8 12 4 0 12 12 0 0 4 4 4 8 0 12 4 4 0 4 8 12 12 0 8 4 0 0 12 4 8 12 0 4 8 8 12 12 12 12 12 4 8 0 12 0 0 0 12 4 0 12 4 0 8 4 0 4 0 4 8 4 4 0 0 4 12 12 8 8 0 12 0 8 4 4 12 8 12 8 0 12 4 12 4 12 4 4 4 12 0 12 4 0 0 12 4 12 0 12 12 8 4 8 12 8 0 8 8 8 4 8 0 8 8 12 12 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 0 8 0 0 8 0 8 8 8 8 0 0 8 0 8 8 0 8 0 0 0 8 0 8 0 0 8 0 0 0 8 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 8 8 8 8 0 8 8 0 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 8 8 8 0 0 0 8 8 0 8 8 0 8 0 0 8 0 8 0 8 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 8 8 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 0 8 0 8 0 8 0 0 0 8 8 8 8 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 0 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 0 0 8 0 8 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 0 8 8 0 8 8 8 8 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 8 8 0 0 0 8 0 8 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 0 0 8 0 generates a code of length 72 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+21x^62+58x^63+91x^64+120x^65+171x^66+170x^67+248x^68+412x^69+591x^70+1304x^71+1928x^72+1326x^73+558x^74+402x^75+216x^76+126x^77+150x^78+80x^79+45x^80+50x^81+29x^82+28x^83+22x^84+14x^85+13x^86+6x^87+6x^88+2x^90+2x^92+1x^94+1x^112 The gray image is a code over GF(2) with n=576, k=13 and d=248. This code was found by Heurico 1.16 in 2.28 seconds.