The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 (a+1)X 1 1 aX 1 1 1 1 X aX (a+1)X 1 1 1 1 1 0 0 1 1 1 aX 1 1 1 1 1 1 0 1 1 1 1 1 aX 1 1 aX 1 1 1 1 X 1 (a+1)X 0 1 0 1 0 0 0 X X (a+1)X+1 aX+1 1 aX+a a+1 X+a (a+1)X+a+1 1 X (a+1)X a a 1 a+1 X+a (a+1)X+a+1 (a+1)X+a+1 1 1 1 aX+1 (a+1)X+1 1 (a+1)X X+a+1 1 0 (a+1)X+a 0 a 1 a+1 a (a+1)X X+1 (a+1)X+1 X+a+1 1 aX+a+1 (a+1)X+a+1 (a+1)X 1 aX+a+1 1 aX+a+1 aX+a 1 0 X+a 1 (a+1)X 1 aX+a+1 1 1 X 0 0 1 0 1 (a+1)X+a (a+1)X+a+1 X aX+a aX+a aX 0 aX+a+1 aX+1 a+1 X+a 1 aX+1 (a+1)X+a X+a X X 1 aX aX+a (a+1)X+a+1 (a+1)X+1 (a+1)X aX+a (a+1)X+1 aX X+a aX+a 1 a X+a a+1 0 aX+a+1 a X+a+1 (a+1)X+a a X+a+1 X+a+1 X+a X+a+1 (a+1)X+a+1 a+1 (a+1)X+a+1 aX+1 X+a X (a+1)X X+a X+1 X X+a+1 a 0 (a+1)X+1 (a+1)X+1 aX 0 0 0 1 a+1 a 1 (a+1)X+a aX (a+1)X+a (a+1)X+1 X+a+1 a aX+a 0 aX 1 aX+1 aX+1 (a+1)X X+1 (a+1)X+a aX+1 (a+1)X aX+a+1 (a+1)X+a a aX+1 X+a aX+a+1 (a+1)X+a+1 (a+1)X+a aX+1 a+1 X+a X+a+1 X+1 X+a+1 a+1 aX aX+a aX+1 X+a+1 1 (a+1)X+a aX+a+1 a aX a+1 0 aX+1 (a+1)X a+1 X+1 (a+1)X+a+1 aX+a a+1 X X+a+1 X X+a 1 X 0 0 0 0 X 0 aX 0 0 0 aX X aX X aX X aX X (a+1)X aX (a+1)X X aX X X 0 X (a+1)X (a+1)X 0 (a+1)X aX X (a+1)X X 0 (a+1)X X X aX 0 0 (a+1)X 0 aX aX aX (a+1)X (a+1)X (a+1)X X X X aX (a+1)X (a+1)X aX X 0 aX 0 (a+1)X aX generates a code of length 63 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 169. Homogenous weight enumerator: w(x)=1x^0+204x^169+420x^170+384x^171+1206x^172+1524x^173+2196x^174+1896x^175+3795x^176+4440x^177+4836x^178+4188x^179+7164x^180+8160x^181+8352x^182+7152x^183+10836x^184+12252x^185+12384x^186+9516x^187+15045x^188+16284x^189+15192x^190+11340x^191+15810x^192+17244x^193+13764x^194+9204x^195+11685x^196+9576x^197+7824x^198+4392x^199+4785x^200+3576x^201+2292x^202+996x^203+1143x^204+456x^205+324x^206+84x^207+138x^208+12x^209+27x^212+15x^216+12x^220+12x^224+6x^236 The gray image is a linear code over GF(4) with n=252, k=9 and d=169. This code was found by Heurico 1.16 in 246 seconds.