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 1 1 1 1 1 2 2 2 2 2 1 2 2 2 2 2 2 0 2 0 1 2 1 2 1 1 0 2 2 1 1 1 1 2 2 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 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 0 0 0 2 0 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+153x^72+409x^76+36x^78+676x^80+226x^82+938x^84+538x^86+1243x^88+756x^90+1101x^92+408x^94+822x^96+74x^98+433x^100+10x^102+243x^104+90x^108+29x^112+5x^116+1x^136 The gray image is a code over GF(2) with n=178, k=13 and d=72. This code was found by Heurico 1.16 in 49.5 seconds.