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 2 1 1 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 2 1 1 2 4 1 1 1 1 1 1 4 1 0 4 8 1 2 1 1 2 1 0 1 1 2 1 4 8 1 1 1 2 2 2 1 0 12 0 4 0 0 4 12 0 8 4 4 0 12 12 8 8 4 4 12 0 8 8 8 12 0 12 12 12 8 12 8 12 12 4 12 4 12 0 4 0 12 12 8 4 4 0 0 4 0 0 12 4 4 12 12 4 4 12 0 8 0 12 12 12 8 4 12 4 4 12 4 8 4 4 4 8 0 4 12 0 4 8 8 8 4 4 12 12 0 0 12 4 0 12 4 0 8 4 0 4 0 4 8 4 8 12 0 0 0 8 4 12 4 12 4 12 0 4 12 8 8 8 0 8 8 12 8 12 4 12 8 12 4 0 0 8 8 0 12 12 0 4 4 8 12 12 12 12 0 0 0 12 0 0 8 8 12 12 8 12 4 12 0 0 0 4 12 4 0 12 4 0 12 8 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 8 0 0 8 0 0 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 8 0 8 0 0 8 0 0 8 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 8 0 8 8 8 8 0 0 0 0 8 8 8 8 8 8 0 0 8 0 0 0 8 0 0 0 0 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 8 0 8 8 0 8 0 8 8 8 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 8 0 8 0 0 0 8 0 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 8 0 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 0 8 0 0 0 8 0 0 8 8 8 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 0 8 0 0 0 8 0 8 8 0 8 8 8 8 0 8 0 0 0 8 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 8 8 8 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 8 8 0 8 8 0 0 0 0 0 8 8 8 0 0 0 8 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 8 8 0 0 8 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+50x^79+73x^80+120x^81+127x^82+222x^83+103x^84+522x^85+397x^86+970x^87+896x^88+1364x^89+860x^90+1050x^91+352x^92+442x^93+78x^94+202x^95+61x^96+92x^97+47x^98+54x^99+36x^100+10x^101+17x^102+10x^103+8x^104+8x^105+6x^106+2x^107+3x^108+2x^109+4x^110+1x^112+1x^116+1x^140 The gray image is a code over GF(2) with n=712, k=13 and d=316. This code was found by Heurico 1.16 in 5.64 seconds.