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 2 2 2 2 2 0 1 2 4 4 1 1 0 0 1 0 4 1 1 0 0 1 1 4 1 2 4 1 1 2 2 1 1 1 2 1 2 2 0 1 1 0 0 1 2 1 2 4 4 2 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 6 6 0 4 0 6 2 2 0 4 2 6 2 6 2 0 4 0 0 0 2 2 6 0 4 2 6 2 2 4 0 4 2 6 4 2 0 2 2 6 2 2 4 2 0 2 2 4 2 0 2 4 6 2 0 0 6 6 6 2 2 2 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 2 4 6 0 2 6 2 6 2 4 4 4 0 2 0 2 6 2 2 6 6 6 2 4 4 2 0 6 4 6 6 4 2 4 2 4 6 2 2 4 0 0 6 6 0 0 6 0 2 2 2 0 6 4 6 2 0 0 2 0 2 2 6 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 0 0 0 0 0 4 4 4 0 0 4 0 4 0 4 4 0 0 0 4 4 0 4 0 4 4 0 4 4 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 4 4 0 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 4 4 0 0 0 0 4 4 0 4 0 4 4 0 4 4 4 0 4 4 0 4 0 0 0 4 4 0 4 0 0 4 0 4 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 4 0 0 0 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 4 4 0 4 0 4 4 4 0 4 0 4 4 4 0 0 4 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 0 0 4 0 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 0 0 0 0 0 4 4 0 0 4 0 4 0 0 0 4 0 0 4 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 0 0 4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 4 4 0 0 4 0 4 0 4 4 0 0 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 0 0 0 4 0 0 0 4 4 0 0 4 4 4 0 0 4 4 4 4 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 0 0 0 4 4 4 0 4 0 0 4 0 0 4 4 0 0 4 0 4 4 0 4 0 4 4 0 4 0 4 4 0 0 4 4 4 4 4 4 4 0 4 0 4 0 0 0 generates a code of length 83 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+162x^68+214x^70+32x^71+685x^72+100x^73+736x^74+516x^75+1296x^76+944x^77+1310x^78+2148x^79+1927x^80+2812x^81+1780x^82+3176x^83+2077x^84+3072x^85+1598x^86+1896x^87+1781x^88+1116x^89+1064x^90+404x^91+874x^92+144x^93+386x^94+20x^95+288x^96+4x^97+68x^98+92x^100+12x^102+22x^104+10x^108+1x^116 The gray image is a code over GF(2) with n=332, k=15 and d=136. This code was found by Heurico 1.16 in 88.9 seconds.