The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 2 0 1 1 0 1 0 1 0 1 1 2 1 1 1 0 2 1 2 1 1 0 2 1 2 0 1 1 1 1 1 1 2 0 1 0 2 0 0 1 1 1 1 2 1 1 1 0 1 1 1 1 1 0 2 1 2 0 1 2 0 2 1 1 1 1 2 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 1 2 3 1 2 0 3 0 1 0 3 2 1 1 2 0 3 1 1 1 2 0 1 2 3 0 1 3 2 1 0 1 2 1 2 1 0 3 3 3 1 3 0 2 1 2 1 3 2 3 0 1 1 1 0 2 1 1 1 0 3 3 2 1 3 1 0 0 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 3 1 1 3 1 0 0 1 1 0 0 3 3 1 0 2 3 3 1 0 1 3 2 2 1 1 2 0 0 3 3 1 2 1 2 1 2 1 1 3 3 1 3 3 1 0 3 0 0 0 1 3 2 1 0 0 3 1 0 2 1 3 2 0 2 0 2 3 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+81x^72+106x^74+467x^76+532x^78+1016x^80+980x^82+1570x^84+1516x^86+2000x^88+1652x^90+1914x^92+1396x^94+1241x^96+708x^98+596x^100+228x^102+221x^104+42x^106+83x^108+8x^110+14x^112+10x^116+2x^120 The gray image is a code over GF(2) with n=178, k=14 and d=72. This code was found by Heurico 1.16 in 58.5 seconds.