The generator matrix 1 0 0 1 1 1 0 1 1 1 X+2 1 0 2 1 1 1 X+2 1 X X X 1 1 X+2 1 2 1 1 X+2 0 1 0 1 2 X+2 1 1 1 1 1 0 1 1 1 X+2 1 1 1 1 1 1 1 X 1 1 0 2 1 X 1 1 1 1 1 1 1 X+2 X+2 1 0 1 1 0 1 0 0 1 1 1 2 X+3 X+1 1 X 1 X+2 X+2 X+3 X+2 1 1 X+2 1 2 X+1 X 1 2 1 3 3 2 1 X 1 X+1 2 1 0 X X+2 0 1 1 X 0 1 1 0 X+1 2 X+2 3 1 2 X+2 0 X+3 1 2 X 1 2 X X+2 X+3 1 X+2 X+1 1 1 X 2 X+3 0 0 0 1 X+1 X+3 0 X+1 X X+2 X+3 X+3 3 X+2 1 2 1 X+1 2 X 1 1 1 2 X X+2 1 1 1 3 1 3 2 X 0 1 X+3 3 X 1 2 2 X+3 0 X+1 2 X X+3 X+3 X+1 3 0 X+1 3 1 X+2 2 X+3 1 X+3 1 2 2 X 3 X+2 2 X+2 1 1 X+1 1 3 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+29x^66+222x^67+218x^68+506x^69+284x^70+476x^71+317x^72+424x^73+239x^74+336x^75+210x^76+228x^77+103x^78+204x^79+67x^80+104x^81+47x^82+34x^83+16x^84+18x^85+8x^87+3x^88+1x^90+1x^94 The gray image is a code over GF(2) with n=292, k=12 and d=132. This code was found by Heurico 1.16 in 0.966 seconds.