The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 1 1 1 aX 1 1 1 1 1 1 1 1 1 0 X X 1 1 1 1 1 0 1 1 a (a+1)X+a+1 0 (a+1)X+1 a (a+1)X+a+1 1 0 a (a+1)X+1 1 (a+1)X+a+1 X+a 1 X (a+1)X+1 aX+a+1 X+a X 1 aX+a+1 1 X aX+1 a+1 X+a 1 0 X aX aX+1 aX+1 a (a+1)X+a X+a X+1 1 1 1 aX+a (a+1)X X (a+1)X+a (a+1)X+a+1 0 0 (a+1)X 0 X X (a+1)X X (a+1)X X 0 0 X X 0 (a+1)X aX aX 0 (a+1)X aX (a+1)X aX aX (a+1)X X X 0 X (a+1)X (a+1)X (a+1)X 0 (a+1)X aX X 0 aX aX 0 0 (a+1)X X X aX (a+1)X 0 0 0 0 X aX X aX (a+1)X (a+1)X 0 X (a+1)X 0 aX aX (a+1)X 0 X 0 aX (a+1)X X 0 aX 0 0 aX (a+1)X X aX 0 aX (a+1)X (a+1)X X aX 0 X aX X (a+1)X X 0 (a+1)X aX 0 (a+1)X generates a code of length 47 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+249x^132+336x^134+687x^136+384x^138+420x^140+288x^142+717x^144+384x^146+366x^148+144x^150+93x^152+12x^156+6x^160+9x^164 The gray image is a linear code over GF(4) with n=188, k=6 and d=132. This code was found by Heurico 1.16 in 0.0728 seconds.