The generator matrix 1 0 0 1 1 1 0 1 1 1 2 1 0 2 1 2 0 1 1 0 2 1 1 0 2 1 1 0 1 1 1 1 1 0 2 2 0 1 2 1 1 2 2 1 1 1 1 1 1 1 0 2 0 1 2 0 0 0 1 0 1 1 2 1 2 1 2 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 2 3 1 3 1 2 0 1 0 3 1 1 1 0 0 1 2 3 2 2 0 1 1 0 0 1 1 1 1 2 1 3 1 1 1 0 1 2 3 0 3 3 0 1 2 2 1 0 2 1 1 1 0 1 2 2 1 3 1 1 2 2 0 0 1 1 3 0 3 3 0 1 2 0 0 1 1 1 0 1 0 3 3 1 0 0 1 2 3 1 2 3 0 1 1 0 0 1 2 1 1 0 3 2 3 2 0 2 3 3 3 0 3 1 3 3 0 3 1 1 1 2 2 1 3 1 0 3 1 1 0 1 0 1 0 1 0 1 1 3 2 3 1 1 1 1 3 3 3 2 2 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 generates a code of length 81 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+134x^72+198x^74+326x^76+216x^78+263x^80+182x^82+213x^84+152x^86+129x^88+96x^90+55x^92+38x^94+22x^96+12x^98+5x^100+2x^102+3x^104+1x^108 The gray image is a code over GF(2) with n=162, k=11 and d=72. This code was found by Heurico 1.16 in 0.911 seconds.