The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 (a+1)X 1 1 1 1 (a+1)X 1 1 1 1 1 X 1 aX 1 aX 1 1 1 X 1 0 1 1 1 1 1 0 1 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 0 0 0 (a+1)X 1 (a+1)X+a a+1 (a+1)X+1 1 (a+1)X+a (a+1)X+a+1 (a+1)X+a+1 1 1 a (a+1)X+1 a+1 X+a 1 (a+1)X+a+1 X+1 aX+a+1 aX aX 1 (a+1)X+a 1 1 0 0 X+a+1 (a+1)X 1 (a+1)X+a 1 (a+1)X+1 a (a+1)X+a 1 a 1 aX+1 aX+a+1 1 aX+a X+a+1 1 X+a (a+1)X+1 a aX+1 1 (a+1)X+1 (a+1)X (a+1)X+a+1 a X+a (a+1)X+a X X+a aX+1 aX+1 X 1 aX (a+1)X+a+1 aX X+1 X+a 0 0 1 1 a a+1 1 X+1 1 0 a+1 X+a+1 aX a a 1 aX+a a a+1 aX a+1 X+1 X 0 0 X+a X+1 aX+a+1 aX+a+1 aX+1 1 1 aX+a+1 X+a+1 X+a aX X (a+1)X+1 aX+1 (a+1)X+a+1 X+a aX+a (a+1)X+1 X+a+1 aX+1 (a+1)X+a+1 X+1 (a+1)X aX+a aX+a aX+a X+a X+a+1 (a+1)X aX+a+1 X+a+1 a aX+1 a+1 a+1 aX+1 aX+a+1 aX X+a a+1 0 aX+1 aX+1 1 (a+1)X+1 aX+a 0 0 0 (a+1)X 0 0 0 aX aX aX (a+1)X X X X X (a+1)X (a+1)X aX (a+1)X aX X 0 (a+1)X 0 X aX aX X 0 0 0 X aX aX X 0 0 X X X X 0 X (a+1)X (a+1)X 0 0 (a+1)X (a+1)X 0 X aX (a+1)X (a+1)X 0 X 0 (a+1)X 0 aX X (a+1)X X X (a+1)X aX aX aX 0 0 (a+1)X 0 0 0 0 X aX (a+1)X X 0 aX X (a+1)X X 0 X (a+1)X aX 0 aX aX (a+1)X 0 0 X aX aX 0 X aX X (a+1)X (a+1)X X aX aX (a+1)X (a+1)X X 0 0 (a+1)X aX 0 (a+1)X (a+1)X (a+1)X aX aX (a+1)X 0 0 X 0 aX X X aX 0 (a+1)X (a+1)X X aX 0 aX X X X aX 0 0 0 generates a code of length 71 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 196. Homogenous weight enumerator: w(x)=1x^0+474x^196+252x^197+528x^199+2472x^200+912x^201+1308x^203+4530x^204+1776x^205+1680x^207+6627x^208+2016x^209+2280x^211+7905x^212+2328x^213+2916x^215+8349x^216+2100x^217+2028x^219+6330x^220+1728x^221+1176x^223+3201x^224+984x^225+336x^227+882x^228+156x^229+36x^231+111x^232+36x^233+21x^236+27x^240+12x^244+9x^248+3x^252+3x^260+3x^264 The gray image is a linear code over GF(4) with n=284, k=8 and d=196. This code was found by Heurico 1.16 in 20.8 seconds.