The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 X 1 X 1 1 (a+1)X 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 aX 1 1 1 1 1 1 1 1 1 1 0 0 1 1 a a+1 0 (a+1)X+1 (a+1)X+a+1 a 1 0 (a+1)X+1 (a+1)X+a+1 1 a X (a+1)X+a+1 1 (a+1)X+1 a aX+a+1 0 aX+1 1 a (a+1)X+a+1 (a+1)X+a+1 aX+1 aX X+a aX+a+1 0 1 1 (a+1)X+1 X+a 1 aX 1 (a+1)X+a X+1 1 aX+a+1 (a+1)X+1 X+a 1 aX+a+1 (a+1)X X+a+1 aX+a (a+1)X+1 a+1 (a+1)X+a X+a+1 aX+a+1 aX+a+1 X+a+1 1 (a+1)X+a+1 1 (a+1)X+1 1 (a+1)X+a+1 aX (a+1)X X+1 1 (a+1)X+a aX (a+1)X+1 aX+a X+1 1 0 0 (a+1)X 0 0 0 X aX X X X (a+1)X (a+1)X aX aX aX 0 0 X aX (a+1)X aX (a+1)X (a+1)X (a+1)X aX aX X X aX (a+1)X X X aX aX (a+1)X aX aX X X 0 aX X aX (a+1)X aX (a+1)X aX X aX (a+1)X (a+1)X aX aX 0 X X aX (a+1)X (a+1)X (a+1)X (a+1)X 0 aX (a+1)X 0 (a+1)X (a+1)X (a+1)X (a+1)X X X 0 0 0 0 X 0 X (a+1)X (a+1)X X (a+1)X 0 (a+1)X X X 0 X (a+1)X 0 (a+1)X 0 0 X (a+1)X (a+1)X X aX (a+1)X (a+1)X X (a+1)X (a+1)X 0 0 X aX 0 (a+1)X X X X (a+1)X (a+1)X (a+1)X X X (a+1)X (a+1)X 0 aX (a+1)X aX X 0 (a+1)X aX 0 X 0 aX X X 0 aX aX 0 0 X aX aX (a+1)X (a+1)X aX aX 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX X aX 0 aX (a+1)X X X (a+1)X X aX X (a+1)X 0 (a+1)X aX X 0 0 X aX (a+1)X (a+1)X aX (a+1)X (a+1)X 0 aX aX 0 X aX 0 (a+1)X 0 X (a+1)X X 0 0 (a+1)X 0 (a+1)X X X (a+1)X X 0 aX X aX aX 0 0 (a+1)X aX (a+1)X X aX (a+1)X X aX aX X generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 204. Homogenous weight enumerator: w(x)=1x^0+282x^204+108x^205+168x^207+867x^208+396x^209+396x^211+1629x^212+504x^213+564x^215+1773x^216+552x^217+696x^219+2013x^220+540x^221+720x^223+2076x^224+444x^225+444x^227+1107x^228+384x^229+84x^231+321x^232+144x^233+42x^236+39x^240+45x^244+24x^248+6x^252+3x^256+9x^260+3x^268 The gray image is a linear code over GF(4) with n=292, k=7 and d=204. This code was found by Heurico 1.16 in 1.67 seconds.