The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 2 1 1 2 1 1 1 1 1 1 X 1 X X 1 1 1 1 2 1 1 0 1 2 1 0 1 1 X 1 0 2 1 1 0 1 2 1 1 X 1 X 1 1 1 1 1 1 X 0 1 1 1 1 X 0 X 1 1 1 1 1 1 1 1 2 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+2 1 X+3 X+3 1 0 1 1 2 0 X+1 1 X+1 1 1 0 X+2 1 3 1 X+1 X 1 3 1 1 1 X+1 X 1 2 1 1 X+1 0 1 2 1 1 1 1 X+2 1 X+3 X+2 X+3 X+1 X 0 1 1 X+1 0 X+1 0 2 1 1 2 X+1 X+2 X+2 X+1 3 X+1 2 1 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X X+2 0 2 2 X 2 X X X 0 0 X X+2 0 0 X+2 2 X X X 0 2 X+2 X 2 2 X+2 X+2 X X+2 0 2 0 0 0 X 2 X X+2 X+2 X+2 X 0 X 0 0 2 2 X 0 X X X X 2 X+2 X X+2 0 X 0 X+2 X+2 2 X+2 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 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+246x^74+576x^76+668x^78+627x^80+677x^82+500x^84+506x^86+191x^88+48x^90+10x^92+16x^94+12x^96+13x^98+2x^102+1x^104+2x^108 The gray image is a code over GF(2) with n=324, k=12 and d=148. This code was found by Heurico 1.16 in 74.6 seconds.