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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 4 4 2 1 4 1 1 4 2 1 2 4 1 1 1 4 1 1 2 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 8 8 0 8 0 8 0 0 0 8 8 0 0 0 8 8 8 0 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 0 0 8 8 8 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 8 0 8 0 0 0 8 8 8 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 8 8 8 8 8 8 8 8 0 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 8 8 0 8 8 0 0 0 8 0 0 0 8 0 8 8 0 0 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 8 0 0 8 8 0 8 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 8 8 8 0 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 0 8 0 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 8 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 0 8 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 8 8 0 0 8 0 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 8 0 0 8 8 0 0 8 8 8 8 8 8 8 0 8 0 8 0 8 8 0 8 0 8 0 0 0 8 0 8 0 8 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 8 8 0 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 8 0 8 8 8 8 0 8 8 0 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 8 0 8 8 8 0 8 8 8 0 8 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 0 0 8 0 0 8 8 0 8 0 8 8 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 0 8 8 8 8 0 0 8 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 8 0 8 8 0 0 0 0 8 0 0 8 0 0 0 8 0 8 8 0 8 0 0 8 0 0 8 0 8 0 0 8 8 8 0 0 0 generates a code of length 82 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+146x^68+2x^70+334x^72+90x^74+570x^76+624x^78+1543x^80+9844x^82+1569x^84+610x^86+499x^88+82x^90+248x^92+12x^94+136x^96+53x^100+15x^104+5x^108+1x^124 The gray image is a code over GF(2) with n=656, k=14 and d=272. This code was found by Heurico 1.16 in 13 seconds.