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 2 4 2 2 2 2 1 1 2 2 2 2 1 0 1 4 1 2 1 4 1 1 1 4 1 1 1 1 2 4 0 1 0 1 1 1 2 0 1 1 1 0 0 0 1 0 2 0 0 0 0 0 0 0 0 4 2 6 2 4 0 2 2 2 2 0 6 6 6 6 6 0 4 2 6 2 4 0 6 2 4 0 4 2 2 4 2 6 2 4 4 2 4 4 4 6 0 0 4 4 0 2 0 4 2 2 2 4 4 0 6 2 0 4 6 4 6 4 6 2 2 4 0 4 4 2 2 0 0 0 2 0 0 0 0 0 0 0 6 4 2 2 2 2 2 6 4 0 6 4 6 0 2 0 6 6 4 6 6 6 2 0 0 4 6 0 4 2 2 6 6 6 6 2 4 0 2 4 6 4 4 2 4 4 2 2 4 0 0 6 0 4 2 6 4 2 2 6 0 2 6 2 2 4 6 0 0 0 0 2 0 0 0 0 2 0 0 4 6 2 2 2 6 4 2 2 0 0 6 2 0 4 4 6 2 0 4 2 2 6 4 2 0 0 0 6 6 0 4 2 0 2 2 4 0 0 2 4 4 6 2 4 4 0 0 4 6 6 6 2 2 0 2 0 4 6 6 4 2 2 4 4 2 4 4 4 6 4 0 0 2 4 2 0 0 0 0 0 2 0 6 6 6 4 0 0 0 0 4 0 2 6 2 6 2 4 0 6 2 6 6 2 4 0 6 2 2 6 4 4 0 4 4 4 6 2 2 6 2 4 6 6 4 6 0 4 2 2 6 4 2 0 2 6 0 0 6 4 6 0 6 4 4 6 2 0 2 6 4 4 0 2 2 2 4 0 2 0 0 0 0 0 2 2 4 6 2 0 0 0 0 6 2 6 6 4 0 2 2 2 6 0 2 2 4 2 6 0 4 2 2 2 4 4 0 0 4 4 0 4 2 0 0 0 4 2 4 2 2 2 4 4 2 4 4 2 2 6 6 0 4 4 4 2 4 4 4 0 2 2 2 0 6 6 6 0 6 2 4 6 generates a code of length 83 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+75x^72+114x^73+161x^74+222x^75+249x^76+328x^77+447x^78+476x^79+550x^80+644x^81+591x^82+646x^83+667x^84+604x^85+532x^86+434x^87+326x^88+300x^89+212x^90+140x^91+118x^92+82x^93+70x^94+58x^95+60x^96+38x^97+32x^98+8x^99+2x^100+2x^101+2x^102+1x^118 The gray image is a code over GF(2) with n=332, k=13 and d=144. This code was found by Heurico 1.16 in 5.99 seconds.