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 4 1 0 2 1 0 1 2 2 2 1 4 1 1 0 0 1 2 2 1 1 0 1 1 4 0 1 2 2 4 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 2 1 1 2 1 2 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 4 2 0 6 0 0 2 2 0 4 2 6 2 2 6 6 4 0 6 2 4 4 2 0 2 4 6 2 6 6 2 2 6 0 0 6 6 2 0 0 2 6 4 2 2 6 0 0 2 0 0 6 6 4 6 6 4 4 4 2 4 0 2 2 2 2 4 2 2 6 4 0 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 6 6 4 0 4 6 6 4 0 2 2 4 0 2 0 6 2 6 4 2 2 2 2 0 4 4 4 6 0 2 2 4 4 2 2 0 0 6 4 6 2 6 0 2 0 2 6 6 6 6 2 6 4 2 4 0 6 4 6 2 2 0 6 4 2 2 4 0 2 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 0 4 0 4 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 4 0 4 4 0 0 4 0 0 0 4 4 4 0 0 0 4 0 0 0 0 0 0 4 0 0 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 0 4 4 4 0 0 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 4 4 0 0 0 0 0 4 4 4 4 0 0 4 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 4 0 4 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 4 4 0 0 4 4 4 0 0 4 0 4 0 0 0 4 0 4 4 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 4 0 0 4 4 0 4 0 4 4 4 0 0 4 0 0 4 0 4 0 0 4 4 4 4 0 0 4 0 4 0 0 0 4 0 4 4 0 0 0 0 4 0 0 4 0 4 4 4 4 4 4 4 4 0 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 0 4 0 4 0 4 0 4 0 0 4 0 0 4 4 0 4 4 0 4 4 4 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 0 0 0 0 0 0 4 4 0 4 0 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 0 4 0 0 4 4 0 4 4 0 4 4 0 0 0 4 0 4 0 4 4 0 0 4 0 0 0 4 0 0 4 4 0 4 4 0 4 4 0 4 0 4 0 0 4 4 4 4 0 0 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 0 0 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 4 4 0 4 4 0 4 0 0 0 generates a code of length 89 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+29x^72+167x^74+356x^76+623x^78+28x^79+953x^80+136x^81+1402x^82+428x^83+2177x^84+992x^85+2969x^86+1592x^87+3601x^88+1840x^89+3695x^90+1592x^91+2973x^92+992x^93+2150x^94+428x^95+1488x^96+136x^97+905x^98+28x^99+501x^100+262x^102+157x^104+94x^106+39x^108+11x^110+9x^112+9x^114+2x^116+1x^118+1x^120+1x^128 The gray image is a code over GF(2) with n=356, k=15 and d=144. This code was found by Heurico 1.16 in 94.6 seconds.