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 X 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 (a+1)X 1 1 X 1 0 1 1 1 0 1 1 1 1 1 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 aX+a+1 a+1 aX+1 aX X+a a+1 0 1 1 (a+1)X+a+1 1 aX+a aX+a 1 1 (a+1)X+a+1 (a+1)X+a aX (a+1)X+a X+1 aX+1 (a+1)X+a+1 (a+1)X+1 (a+1)X (a+1)X+a (a+1)X (a+1)X 1 (a+1)X+1 a+1 1 a+1 1 1 (a+1)X+a 1 X+a+1 1 1 aX X+1 1 aX+a+1 aX+1 X+a aX 0 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 (a+1)X aX (a+1)X (a+1)X (a+1)X aX X aX aX X 0 aX (a+1)X aX (a+1)X 0 aX (a+1)X X aX aX aX X X aX 0 X X X aX X X (a+1)X 0 (a+1)X aX 0 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 (a+1)X (a+1)X X 0 (a+1)X (a+1)X aX (a+1)X X X (a+1)X X aX aX 0 (a+1)X 0 aX X X (a+1)X (a+1)X X 0 0 X (a+1)X 0 aX aX aX 0 0 aX X (a+1)X 0 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 X aX X 0 aX (a+1)X 0 (a+1)X aX X aX X X (a+1)X (a+1)X X 0 X 0 aX X X 0 0 0 aX X X aX 0 0 X (a+1)X (a+1)X (a+1)X 0 aX X generates a code of length 72 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 200. Homogenous weight enumerator: w(x)=1x^0+66x^200+48x^201+84x^202+468x^203+165x^204+240x^205+348x^206+1176x^207+183x^208+420x^209+432x^210+1548x^211+141x^212+516x^213+588x^214+1620x^215+132x^216+792x^217+660x^218+2076x^219+51x^220+696x^221+660x^222+1584x^223+72x^224+276x^225+264x^226+612x^227+60x^228+84x^229+36x^230+132x^231+45x^232+39x^236+15x^240+9x^244+18x^248+9x^252+9x^256+6x^260+3x^264 The gray image is a linear code over GF(4) with n=288, k=7 and d=200. This code was found by Heurico 1.16 in 1.64 seconds.