The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 6 1 1 6 1 1 1 2 1 1 4 0 1 1 1 4 1 1 0 1 6 1 0 0 1 1 1 0 1 1 1 1 2 2 1 1 1 1 1 0 1 1 1 4 1 1 1 1 1 1 1 0 2 4 4 2 1 0 1 1 0 1 4 1 1 0 1 1 0 3 1 0 3 1 4 1 1 6 7 1 6 1 5 5 1 6 5 2 1 6 1 1 1 7 2 4 1 5 3 1 2 1 0 1 1 1 4 1 1 4 4 4 7 1 1 2 7 3 7 0 1 4 3 3 2 3 0 5 2 0 3 5 1 1 1 2 6 7 1 4 0 1 2 0 3 0 0 0 2 0 2 0 2 0 6 2 0 2 4 0 6 2 0 4 2 2 6 4 6 0 0 0 6 6 6 4 2 4 2 4 4 0 0 6 2 2 2 0 2 0 4 4 0 2 6 4 6 2 6 2 0 0 2 6 4 6 2 2 4 4 0 6 0 4 4 4 2 2 6 6 6 0 6 2 2 0 0 0 0 0 2 2 6 2 0 0 0 6 2 4 6 0 6 4 4 6 2 6 0 4 2 2 2 0 6 4 6 4 6 6 4 4 2 0 0 6 0 0 6 6 2 2 0 4 4 2 6 4 0 0 0 2 2 0 0 6 0 2 4 0 4 6 0 4 4 2 6 2 2 6 2 6 4 6 4 6 0 0 0 0 0 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 0 0 4 0 0 0 0 0 4 4 4 0 0 4 4 4 0 4 0 4 0 0 4 0 4 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 4 0 0 0 4 4 0 4 0 4 4 0 0 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 0 0 4 0 4 4 0 0 0 0 0 4 0 4 4 0 4 0 0 4 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 0 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 0 4 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 4 0 4 4 0 4 0 0 0 4 0 4 4 0 4 0 0 0 4 0 4 4 0 4 0 4 4 0 4 4 0 0 0 4 4 0 4 4 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 4 0 4 4 4 4 4 0 0 0 0 4 0 0 0 0 4 0 4 0 4 0 4 4 4 0 4 4 4 0 0 0 0 4 4 4 4 0 0 4 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 0 4 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 0 4 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 4 4 4 4 4 0 4 4 0 0 4 0 4 4 4 0 4 4 4 0 0 0 0 4 4 4 4 generates a code of length 81 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+38x^68+96x^69+216x^70+256x^71+440x^72+604x^73+834x^74+1218x^75+1596x^76+1950x^77+2306x^78+2564x^79+2688x^80+3028x^81+2934x^82+2690x^83+2365x^84+1838x^85+1470x^86+1176x^87+845x^88+572x^89+347x^90+246x^91+166x^92+82x^93+67x^94+36x^95+37x^96+20x^97+12x^98+6x^99+11x^100+2x^101+4x^102+5x^104+1x^106+1x^110 The gray image is a code over GF(2) with n=324, k=15 and d=136. This code was found by Heurico 1.16 in 60.2 seconds.