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 2 2 2 2 1 1 1 1 2 1 2 4 2 0 1 1 1 1 4 1 1 1 0 1 2 1 1 4 1 0 2 4 1 1 1 1 2 1 1 1 1 0 1 4 1 1 1 2 4 1 2 1 2 1 2 0 12 0 12 0 12 0 12 0 12 0 4 12 8 0 8 12 4 12 12 4 0 0 8 0 8 12 12 0 0 4 12 12 12 12 12 4 0 0 12 12 12 12 12 4 12 8 12 8 12 12 8 4 4 4 12 0 0 12 4 4 12 12 4 0 0 4 4 8 12 8 12 4 4 12 12 4 4 0 12 12 12 4 12 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 0 8 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 8 0 8 8 8 8 0 0 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 0 8 8 0 8 8 8 0 0 0 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 0 8 0 8 8 0 8 8 8 8 8 0 0 0 8 8 0 8 0 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 0 0 8 0 8 0 0 8 8 0 8 8 0 0 8 0 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 0 0 0 8 0 8 0 0 0 0 8 8 0 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 8 8 0 0 8 0 0 8 8 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 0 0 8 0 8 0 8 0 8 0 0 0 8 8 0 8 0 8 0 8 8 8 0 0 8 8 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 0 8 0 8 0 0 0 8 0 8 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 8 0 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 8 8 8 0 8 0 8 8 8 8 0 8 8 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 generates a code of length 86 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+200x^72+78x^74+527x^76+478x^78+1302x^80+2924x^82+6704x^84+8412x^86+6703x^88+2918x^90+1300x^92+454x^94+430x^96+96x^98+151x^100+65x^104+20x^108+3x^112+1x^116+1x^124 The gray image is a code over GF(2) with n=688, k=15 and d=288. This code was found by Heurico 1.16 in 44.7 seconds.