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 (a+1)X X 1 0 1 1 aX 1 (a+1)X 1 X 1 1 1 aX 1 X aX 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+1 aX+a aX+a X+a a+1 (a+1)X 1 1 X+1 1 (a+1)X+a+1 X 0 (a+1)X+1 1 aX+1 1 (a+1)X+a a+1 (a+1)X+a+1 1 a 1 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 (a+1)X X+a aX+1 aX a (a+1)X+1 1 X+a X aX+a+1 aX+a X+a 1 aX+1 aX+1 a+1 (a+1)X (a+1)X (a+1)X+a+1 a aX 1 (a+1)X+1 a (a+1)X generates a code of length 52 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 149. Homogenous weight enumerator: w(x)=1x^0+336x^149+684x^150+96x^152+540x^153+660x^154+90x^156+216x^157+396x^158+39x^160+144x^161+324x^162+216x^165+168x^166+24x^168+84x^169+72x^170+6x^172 The gray image is a linear code over GF(4) with n=208, k=6 and d=149. This code was found by Heurico 1.16 in 0.062 seconds.