The generator matrix 1 0 0 0 1 1 1 2X+2 1 2X 1 X 1 1 X+2 0 0 1 1 1 0 1 0 0 X 2X+1 3X+3 1 2X+2 2X+2 3 1 2X+2 3X+3 X 1 1 2X+1 2X+2 2X 0 0 1 0 X+1 1 X X+1 3X+3 1 1 3X+1 2X+1 3X 1 2 3X X+3 3X+1 0 0 0 0 1 1 2X+2 X+1 1 3X+2 2X+3 1 2X+2 3X+2 2 X+3 3 X+3 2 2X+3 2X+2 0 0 0 0 2X+2 2X 0 2X 0 2X 2 0 2X+2 2X+2 2X+2 2X+2 2X 2 2 0 generates a code of length 20 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 14. Homogenous weight enumerator: w(x)=1x^0+81x^14+674x^15+2932x^16+10658x^17+27564x^18+54876x^19+67938x^20+55948x^21+27473x^22+10300x^23+2909x^24+642x^25+114x^26+20x^27+12x^28+2x^31 The gray image is a code over GF(2) with n=160, k=18 and d=56. This code was found by Heurico 1.16 in 113 seconds.