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 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 4 1 2 1 1 1 4 1 2 2 2 2 1 1 2 1 1 2 2 1 1 1 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 8 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 8 8 0 0 8 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 8 8 0 8 0 0 8 0 8 0 0 0 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 0 8 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 8 0 8 8 8 0 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 8 8 8 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 8 8 8 0 8 0 0 8 8 0 8 8 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 0 0 8 0 8 8 0 0 0 8 8 8 0 0 0 8 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 8 0 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 0 8 8 8 8 8 0 0 8 8 0 8 0 8 8 0 0 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 generates a code of length 91 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+67x^72+51x^74+205x^76+10x^77+134x^78+14x^79+268x^80+64x^81+241x^82+152x^83+291x^84+292x^85+218x^86+500x^87+274x^88+2670x^89+290x^90+21226x^91+297x^92+2754x^93+320x^94+454x^95+276x^96+300x^97+314x^98+156x^99+181x^100+48x^101+198x^102+24x^103+118x^104+6x^105+163x^106+2x^107+46x^108+81x^110+19x^112+29x^114+4x^116+8x^118+1x^120+1x^142 The gray image is a code over GF(2) with n=728, k=15 and d=288. This code was found by Heurico 1.16 in 53.2 seconds.