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 X 1 X 1 1 1 1 0 1 1 X 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 1 a+1 1 a+1 (a+1)X+a aX+1 a+1 1 aX+a+1 X+a aX aX+1 X 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 (a+1)X 0 0 (a+1)X aX X aX 0 aX aX 0 aX X 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 (a+1)X X (a+1)X X aX (a+1)X 0 X X 0 X aX (a+1)X generates a code of length 50 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+348x^141+369x^144+708x^145+192x^148+780x^149+168x^152+492x^153+186x^156+552x^157+87x^160+192x^161+12x^168+6x^172+3x^176 The gray image is a linear code over GF(4) with n=200, k=6 and d=141. This code was found by Heurico 1.16 in 11.7 seconds.