The generator matrix 1 0 0 0 1 1 1 X^2+X 1 X+2 1 0 1 X^2+2 2 X^2+X 1 1 0 1 0 0 X 3 X^2+X+1 1 2 1 X+3 X X+1 1 X^2+X+2 1 X+3 0 0 0 1 0 X+1 1 X X+1 X^2+X+1 X^2+X X 1 3 X+1 2 X^2+3 X+1 0 0 0 0 1 1 X^2 X+1 X+1 X^2 X^2+X+1 X X^2+X+1 3 0 1 X^2+X+2 X^2+2 0 0 0 0 0 X^2 2 0 0 X^2 X^2 X^2 2 2 X^2 X^2+2 0 0 0 generates a code of length 18 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+158x^12+654x^13+3042x^14+10416x^15+27209x^16+54422x^17+70016x^18+54704x^19+27686x^20+10106x^21+2802x^22+736x^23+146x^24+34x^25+12x^26 The gray image is a code over GF(2) with n=144, k=18 and d=48. This code was found by Heurico 1.16 in 87.7 seconds.