The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 0 X aX 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 (a+1)X 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 aX 1 X aX (a+1)X 1 1 1 1 aX 1 1 1 1 1 1 1 1 X 0 0 0 1 1 1 1 1 1 0 0 1 0 0 (a+1)X 0 (a+1)X 1 (a+1)X+a (a+1)X+1 aX+1 aX+1 aX+a+1 a aX a+1 (a+1)X 1 1 (a+1)X+a+1 (a+1)X+1 1 aX 0 X+a+1 X+a 1 aX+a+1 (a+1)X+a (a+1)X+a+1 1 aX a 1 1 aX (a+1)X+a X+a+1 aX+a X+a+1 X+a+1 (a+1)X aX+1 1 (a+1)X+a X aX+a 1 (a+1)X+1 1 1 1 aX+a X+a+1 aX+a a aX (a+1)X 1 aX aX+1 (a+1)X+a (a+1)X+a+1 (a+1)X (a+1)X+a+1 (a+1)X 1 (a+1)X 1 (a+1)X aX a+1 (a+1)X+a+1 X+1 aX+a 1 0 0 1 0 X aX 0 (a+1)X (a+1)X aX aX (a+1)X X (a+1)X+a+1 1 (a+1)X+1 1 a aX+a+1 X+a+1 X+1 X+a aX+1 X+a+1 X+a+1 a+1 (a+1)X+a+1 aX+a aX+a+1 (a+1)X+a a+1 X+a+1 X+a (a+1)X+1 (a+1)X+1 aX+a+1 (a+1)X+1 (a+1)X+a+1 1 aX+a (a+1)X+a 1 (a+1)X+a a aX+1 aX+a+1 X (a+1)X+a a 0 a+1 X X+a aX X+a+1 X 1 X+a aX+a+1 (a+1)X+a (a+1)X+1 1 aX+1 a+1 aX+a+1 1 (a+1)X+1 1 X X+a a+1 X+1 X+1 (a+1)X+1 (a+1)X+1 X+a 0 0 0 1 (a+1)X+1 a a+1 (a+1)X+a+1 X+a+1 aX+a (a+1)X aX+1 X+a (a+1)X+a X+a+1 aX+a+1 (a+1)X+a 1 X+a aX+a+1 X X+a+1 X+1 X+1 a (a+1)X X+a aX+1 (a+1)X+1 X a+1 (a+1)X+a+1 0 (a+1)X+1 aX (a+1)X+a a 0 (a+1)X aX+a+1 X+a aX aX a+1 a+1 0 X a X+1 X+1 (a+1)X (a+1)X+a (a+1)X+a+1 (a+1)X+a+1 X+a+1 aX+a X+1 a (a+1)X 0 a aX+1 aX+1 X+a X+a (a+1)X+1 aX+1 (a+1)X X+a (a+1)X+a+1 aX+a+1 aX+1 a+1 (a+1)X+1 (a+1)X 0 generates a code of length 76 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 212. Homogenous weight enumerator: w(x)=1x^0+387x^212+756x^213+732x^214+564x^215+1809x^216+2160x^217+1668x^218+1332x^219+2499x^220+2964x^221+2232x^222+1404x^223+3825x^224+3924x^225+2220x^226+1728x^227+3780x^228+3768x^229+2400x^230+1728x^231+3939x^232+3828x^233+2232x^234+1416x^235+2874x^236+2616x^237+1656x^238+672x^239+1404x^240+1056x^241+588x^242+372x^243+417x^244+408x^245+84x^246+54x^248+24x^249+12x^250+3x^252 The gray image is a linear code over GF(4) with n=304, k=8 and d=212. This code was found by Heurico 1.16 in 23.3 seconds.