The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 2 1 1 1 1 1 1 0 0 1 1 1 1 1 0 2 1 0 2 1 1 0 1 2 1 1 1 0 1 1 1 2 2 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 2 1 1 1 2 1 2 2 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 0 3 1 3 1 0 0 2 3 3 0 1 1 0 0 3 2 1 1 1 0 1 1 3 3 1 2 1 3 0 3 1 3 1 0 1 1 0 3 3 1 0 1 0 1 3 1 3 1 3 3 2 0 2 0 2 2 1 2 1 1 1 2 1 0 1 3 0 2 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 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 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 0 0 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+151x^72+24x^74+556x^76+310x^78+1033x^80+856x^82+1730x^84+1466x^86+2212x^88+1588x^90+2139x^92+1258x^94+1325x^96+528x^98+681x^100+102x^102+280x^104+12x^106+105x^108+21x^112+5x^116+1x^136 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 69 seconds.