The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 X 1 aX 1 1 1 1 (a+1)X 1 1 1 0 1 1 1 1 aX 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 aX 1 X 1 1 1 X 1 1 1 0 1 0 (a+1)X X aX 1 (a+1)X+a a+1 (a+1)X+1 X+1 aX+1 X+a+1 1 a 1 (a+1)X+a X+a (a+1)X+a+1 aX+a+1 1 0 aX+a (a+1)X+1 1 aX+a aX+1 a aX+a+1 1 aX+a X+a+1 a+1 (a+1)X+a X+1 X (a+1)X+a aX a aX+1 X+1 X+a 1 aX+1 1 1 aX+a+1 1 (a+1)X+1 a+1 aX 1 X+a X X+a+1 0 0 1 1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 (a+1)X aX+a X+a+1 a (a+1)X+1 aX aX+1 0 X+1 a X 1 aX+a aX (a+1)X+a aX 1 aX+1 X+1 X+a+1 X+a (a+1)X+a+1 a+1 aX+1 aX+a (a+1)X aX+a+1 X X+a X X+a+1 X+1 (a+1)X+a (a+1)X aX+a+1 aX+a+1 aX aX+1 a aX aX+a+1 X+1 aX+a+1 1 generates a code of length 55 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+936x^159+465x^160+948x^163+207x^164+396x^167+108x^168+420x^171+108x^172+252x^175+114x^176+120x^179+18x^180+3x^196 The gray image is a linear code over GF(4) with n=220, k=6 and d=159. This code was found by Heurico 1.16 in 27.9 seconds.