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 aX 1 1 1 (a+1)X 1 aX 1 aX 1 1 1 1 1 (a+1)X 1 1 1 1 1 aX 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 aX 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 0 1 X X+a (a+1)X+a 1 (a+1)X+a+1 1 a+1 1 (a+1)X+a+1 aX+1 (a+1)X+a 1 X+a aX (a+1)X+a+1 a aX+a+1 a aX 1 (a+1)X X+a+1 1 X+1 1 X 1 a+1 X+a (a+1)X+1 X+a+1 1 aX+1 (a+1)X a aX aX+a+1 1 (a+1)X+1 X+a 1 (a+1)X+a+1 1 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 0 (a+1)X+a a+1 aX+a+1 aX+a+1 aX+a+1 (a+1)X X+1 X+a+1 a+1 a+1 aX+a+1 aX+1 aX (a+1)X 1 aX+a+1 a a 1 (a+1)X (a+1)X a X 0 aX+a aX+a (a+1)X+a aX+1 1 a+1 a+1 aX+a 0 (a+1)X+1 a+1 (a+1)X aX X+a+1 X+a aX+1 a X+a 1 a 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 a+1 X+1 X aX+a+1 (a+1)X+1 X+a (a+1)X+a (a+1)X+1 aX aX aX+a 1 (a+1)X (a+1)X (a+1)X a+1 (a+1)X+a+1 a+1 aX+a a a 1 a+1 X aX+a+1 X+a+1 aX+a+1 (a+1)X+1 X (a+1)X+a+1 aX (a+1)X+a+1 aX X+a+1 aX (a+1)X+a+1 X+1 (a+1)X+a X+1 (a+1)X aX+a+1 1 X+1 aX+a+1 X+a+1 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 (a+1)X aX X X 0 (a+1)X 0 (a+1)X 0 X (a+1)X X aX (a+1)X X 0 aX 0 aX aX (a+1)X X aX 0 (a+1)X (a+1)X X aX X aX 0 X X 0 aX (a+1)X (a+1)X aX aX X aX 0 0 (a+1)X X generates a code of length 67 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 181. Homogenous weight enumerator: w(x)=1x^0+336x^181+504x^182+624x^183+837x^184+2832x^185+2088x^186+2124x^187+2709x^188+5964x^189+4548x^190+4392x^191+5157x^192+10668x^193+7692x^194+6996x^195+8082x^196+16332x^197+11400x^198+9468x^199+11913x^200+21036x^201+12756x^202+10224x^203+11688x^204+21000x^205+12264x^206+8928x^207+8358x^208+13812x^209+7380x^210+4644x^211+3561x^212+5388x^213+2352x^214+1548x^215+762x^216+900x^217+420x^218+204x^219+87x^220+36x^221+36x^222+36x^224+27x^228+18x^232+6x^236+6x^240 The gray image is a linear code over GF(4) with n=268, k=9 and d=181. This code was found by Heurico 1.16 in 268 seconds.