The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 0 1 X+2 1 1 1 1 X 1 2 1 1 1 1 1 X+2 1 0 1 1 1 1 1 0 1 0 2 1 1 X+2 X+2 1 1 1 2 1 X X 0 1 1 1 2 1 X 1 1 1 1 1 1 X+2 X 0 1 X 0 X+2 1 0 2 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 X+1 0 1 X+2 1 3 3 0 1 X+2 1 X+1 X+1 3 2 1 1 1 X+2 X+1 X X+3 3 1 0 1 X+1 1 X+3 1 X+2 1 X+3 1 1 0 1 1 1 X+3 X+1 3 1 X 1 0 1 3 X+1 X+2 X 2 1 X+2 X+2 X 0 0 2 1 1 1 2 1 1 1 X+2 1 1 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 2 2 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 0 2 2 generates a code of length 81 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+57x^74+64x^75+195x^76+152x^77+223x^78+120x^79+203x^80+96x^81+174x^82+144x^83+182x^84+120x^85+161x^86+56x^87+46x^88+16x^89+19x^90+8x^92+2x^94+1x^96+1x^98+1x^100+2x^102+1x^104+1x^106+2x^108 The gray image is a code over GF(2) with n=324, k=11 and d=148. This code was found by Heurico 1.16 in 0.579 seconds.