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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 2 4 4 1 4 4 1 1 1 2 1 1 2 1 1 1 1 4 4 1 2 1 1 2 1 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 0 0 0 4 4 4 0 4 4 4 0 4 4 4 4 0 0 0 4 0 4 4 0 4 0 0 0 0 4 4 4 4 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 0 0 0 4 0 0 0 4 4 4 0 0 0 4 4 4 0 4 4 0 0 4 4 4 0 0 0 0 4 4 4 4 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 0 4 0 4 4 4 0 4 0 0 4 4 0 0 0 4 4 4 0 4 0 4 4 0 4 0 0 0 4 0 4 0 0 4 4 0 0 4 4 4 4 4 0 0 4 0 0 4 0 4 0 0 0 0 4 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 0 0 4 0 4 0 0 4 0 4 4 0 4 4 4 0 0 4 4 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 4 4 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 4 0 4 0 4 4 4 4 0 0 4 4 0 0 0 4 0 4 0 0 0 0 4 4 0 4 4 4 0 4 0 0 0 4 0 4 0 0 4 4 4 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 4 4 4 0 0 0 4 4 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 4 4 4 0 4 0 4 0 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 4 4 4 4 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 4 4 0 4 0 0 0 4 4 4 0 0 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 0 4 4 4 4 0 0 4 4 0 0 4 4 4 0 0 0 4 0 0 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 0 0 0 0 4 4 4 0 0 4 4 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 4 4 0 0 0 4 0 0 4 4 0 4 4 0 0 4 4 4 4 0 0 0 0 4 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 4 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 4 0 4 4 0 0 0 0 4 0 0 0 4 0 4 4 0 4 4 0 0 0 0 0 4 4 4 0 0 0 0 4 4 0 4 0 0 0 0 4 4 4 4 0 4 4 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 0 4 4 4 4 4 0 4 0 4 0 0 0 0 0 4 0 4 0 0 4 0 4 4 0 0 0 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 4 0 0 0 4 0 4 4 4 4 0 4 4 4 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+117x^72+299x^76+40x^78+393x^80+64x^81+192x^82+384x^83+607x^84+960x^85+384x^86+1280x^87+650x^88+960x^89+304x^90+384x^91+444x^92+64x^93+88x^94+285x^96+16x^98+160x^100+80x^104+25x^108+9x^112+1x^116+1x^136 The gray image is a code over GF(2) with n=348, k=13 and d=144. This code was found by Heurico 1.16 in 9.08 seconds.