The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 2 1 1 0 1 1 1 2 1 1 0 0 1 2 1 1 1 1 1 1 0 0 1 1 2 1 2 1 1 1 1 1 2 0 0 2 1 1 1 1 1 0 1 2 1 0 2 1 0 1 1 1 1 0 1 1 1 2 2 1 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 3 1 0 3 1 0 2 1 3 3 0 1 2 1 1 1 3 1 0 3 3 0 0 0 1 1 0 3 1 1 1 3 2 2 3 1 1 1 1 1 2 2 2 1 1 1 0 1 1 1 1 3 1 3 1 0 1 1 2 0 1 1 1 1 0 3 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 generates a code of length 81 over Z4 who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+34x^71+106x^72+84x^73+147x^74+90x^75+80x^76+112x^77+48x^78+132x^79+177x^80+120x^81+139x^82+132x^83+48x^84+112x^85+80x^86+90x^87+74x^88+84x^89+69x^90+34x^91+21x^96+25x^98+4x^104+4x^106+1x^112 The gray image is a code over GF(2) with n=162, k=11 and d=71. This code was found by Heurico 1.16 in 22.4 seconds.