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 X aX 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 1 X 1 1 0 1 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 1 1 X+a 0 X+1 aX+a (a+1)X+a+1 (a+1)X+a 1 aX+a aX+a aX X+a aX 1 aX+a+1 aX+1 1 aX+a+1 a 1 (a+1)X X X+a a aX+a+1 (a+1)X X+1 a X+a+1 X (a+1)X (a+1)X+a+1 a+1 1 X X+a+1 X aX+a aX+a (a+1)X+1 1 aX+1 1 (a+1)X+a (a+1)X+a+1 X 0 (a+1)X+a+1 a+1 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 a+1 aX+1 (a+1)X+1 aX+1 X+a aX+a aX+a X+1 aX+a+1 (a+1)X (a+1)X+1 a+1 X+a+1 a X+1 aX aX+a+1 aX+a+1 a+1 a aX+a X+a+1 1 a+1 X+a+1 (a+1)X+a+1 (a+1)X+a a+1 aX+a X+a aX+a+1 X+a a+1 (a+1)X+1 a aX+a X 1 a aX+a (a+1)X+a+1 X+a+1 (a+1)X+1 (a+1)X+a+1 (a+1)X+a+1 (a+1)X+a+1 X+1 1 aX+1 (a+1)X+a aX+1 (a+1)X+a+1 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 (a+1)X+1 (a+1)X+1 aX aX+a+1 X+a (a+1)X+1 (a+1)X+a+1 aX+a aX 0 1 a+1 (a+1)X (a+1)X+1 (a+1)X+a a+1 1 (a+1)X (a+1)X+a aX X 1 (a+1)X+a aX+a+1 (a+1)X+1 X aX+a+1 a a 1 X (a+1)X+a (a+1)X+1 X aX+1 aX X+1 X+1 X X+a+1 1 a+1 a+1 aX+a 0 X X aX+a (a+1)X+a (a+1)X+1 X+a+1 X+1 generates a code of length 75 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 209. Homogenous weight enumerator: w(x)=1x^0+564x^209+456x^210+600x^211+780x^212+1860x^213+1704x^214+1632x^215+1656x^216+3120x^217+2376x^218+2220x^219+1752x^220+3636x^221+3084x^222+2448x^223+2145x^224+4356x^225+3336x^226+2568x^227+2277x^228+4164x^229+2820x^230+2232x^231+1791x^232+3120x^233+1920x^234+1428x^235+1026x^236+1620x^237+924x^238+600x^239+276x^240+552x^241+264x^242+96x^243+69x^244+48x^245+12x^246+3x^248 The gray image is a linear code over GF(4) with n=300, k=8 and d=209. This code was found by Heurico 1.16 in 21.4 seconds.