The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 0 1 1 1 1 6 1 1 0 1 1 6 1 6 1 0 1 1 1 0 1 6 1 1 1 0 1 1 1 6 1 1 0 1 6 1 1 0 1 1 6 1 1 6 1 1 1 1 1 2 1 1 0 6 1 6 1 2 1 4 0 1 1 6 1 4 2 1 1 0 0 1 3 6 1 1 0 3 1 6 1 1 1 0 3 6 5 1 3 0 1 5 6 1 0 1 3 1 5 6 6 1 3 1 0 5 6 1 3 0 5 1 0 6 1 6 1 5 4 1 3 3 1 3 2 1 6 5 7 0 0 1 1 5 1 1 3 1 5 1 7 1 1 7 4 1 7 1 0 0 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 0 0 4 4 0 4 4 4 4 0 0 0 4 0 4 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 4 0 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4 0 4 0 0 0 4 0 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 4 0 4 4 4 0 4 4 4 4 0 4 0 0 4 0 0 0 4 0 0 4 0 4 4 4 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 4 0 4 0 0 0 4 0 0 0 4 4 4 0 4 0 4 4 4 0 4 0 0 4 0 0 0 0 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 0 4 0 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4 4 0 0 4 4 4 0 4 0 4 0 4 4 4 4 4 4 4 0 4 0 0 4 0 4 0 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 4 4 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 4 4 4 4 0 0 4 0 4 0 4 4 0 4 0 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 0 0 4 0 0 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 4 0 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 4 0 0 4 4 0 4 4 4 4 0 4 4 4 0 4 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 4 4 4 4 4 4 0 4 4 4 0 4 4 0 4 4 4 4 0 0 4 0 4 4 0 4 4 4 0 0 4 0 4 4 0 0 0 4 0 0 0 4 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 4 4 0 4 4 0 4 0 4 4 0 0 4 4 0 0 4 0 4 0 4 4 0 4 0 0 4 0 4 4 0 0 4 4 4 0 0 0 0 0 4 0 0 4 4 4 0 0 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 generates a code of length 82 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+155x^68+82x^70+36x^71+549x^72+188x^73+544x^74+500x^75+1505x^76+1132x^77+2210x^78+1928x^79+3494x^80+2360x^81+3552x^82+2376x^83+3399x^84+1912x^85+2182x^86+1108x^87+1510x^88+524x^89+576x^90+196x^91+421x^92+28x^93+70x^94+147x^96+54x^100+25x^104+2x^108+2x^112 The gray image is a code over GF(2) with n=328, k=15 and d=136. This code was found by Heurico 1.16 in 63 seconds.