The generator matrix 1 0 0 1 1 1 1 1 1 1 1 X 1 1 1 aX 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 aX 1 1 1 0 1 0 1 0 (a+1)X X aX 1 (a+1)X+a a+1 (a+1)X+1 X+1 1 X+a+1 aX+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 X+a X+a+1 (a+1)X+a+1 aX+a X+a aX+a+1 aX+a a+1 a+1 aX+1 X+1 (a+1)X 0 (a+1)X+a+1 X+a+1 (a+1)X+a 1 a 1 aX 1 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 X+a+1 aX+a (a+1)X a (a+1)X+1 aX aX+1 0 X+1 a X 1 aX+a X (a+1)X+1 X+a+1 aX+1 aX (a+1)X X+a aX+1 (a+1)X+1 (a+1)X+a X (a+1)X+1 a aX+a aX 1 a 0 aX+1 X aX+1 (a+1)X+a+1 generates a code of length 46 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 131. Homogenous weight enumerator: w(x)=1x^0+420x^131+204x^132+288x^133+168x^134+828x^135+150x^136+204x^137+120x^138+420x^139+114x^140+108x^141+48x^142+276x^143+81x^144+132x^145+24x^146+264x^147+84x^148+36x^149+24x^150+96x^151+6x^156 The gray image is a linear code over GF(4) with n=184, k=6 and d=131. This code was found by Heurico 1.16 in 0.157 seconds.