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 0 1 1 1 1 12 1 1 1 1 1 1 2 1 1 2 1 1 8 2 1 1 2 1 1 2 1 4 1 1 1 1 2 1 2 1 2 0 2 0 6 4 6 12 2 0 6 8 14 4 2 4 10 8 2 6 12 12 2 10 12 0 2 12 6 12 2 10 8 8 8 6 10 14 2 14 8 2 12 2 0 2 6 8 4 8 6 8 10 14 12 10 2 2 2 10 10 14 6 14 8 2 0 0 0 12 6 10 2 12 6 0 0 12 0 4 0 8 0 4 4 0 4 4 12 0 12 8 4 8 0 4 4 8 0 12 12 12 0 4 0 12 4 4 0 4 0 4 8 0 4 8 4 8 12 0 8 0 12 0 8 12 4 12 8 4 8 4 0 12 4 8 8 0 8 8 0 0 12 0 8 0 4 8 4 0 0 0 12 0 8 8 4 4 4 4 0 12 0 4 4 12 0 8 0 8 4 4 12 4 0 4 8 0 4 4 12 8 8 0 0 4 8 12 0 0 4 8 0 12 0 4 4 12 0 4 8 8 0 12 4 0 8 8 12 0 8 12 8 4 8 0 12 0 12 8 8 12 12 0 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 0 8 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 8 0 0 8 8 8 0 0 8 0 8 0 generates a code of length 74 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+120x^68+64x^69+400x^70+144x^71+571x^72+304x^73+970x^74+304x^75+533x^76+144x^77+330x^78+64x^79+101x^80+8x^82+14x^84+18x^86+3x^88+2x^90+1x^124 The gray image is a code over GF(2) with n=592, k=12 and d=272. This code was found by Heurico 1.16 in 0.851 seconds.