The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 1 1 (a+1)X aX 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 0 X 1 1 1 (a+1)X 1 1 1 1 1 aX 1 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 aX 1 1 1 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 (a+1)X+a+1 1 (a+1)X+a+1 1 (a+1)X+1 a+1 a 1 1 (a+1)X+a+1 a+1 0 1 1 a (a+1)X+a aX+1 (a+1)X X+1 X+a X+a+1 1 1 (a+1)X+1 0 X+1 1 1 (a+1)X+1 a+1 (a+1)X aX+a 1 aX (a+1)X+a (a+1)X+1 aX (a+1)X+a+1 (a+1)X+1 (a+1)X+a (a+1)X+a aX+a X+a (a+1)X+a+1 a+1 1 X+1 1 X+a+1 aX aX aX 0 0 0 1 1 a a+1 1 X+1 1 0 a+1 X+a+1 a aX+a X+1 aX a a a+1 X X+a+1 0 X+1 (a+1)X+a (a+1)X+a (a+1)X+a X+1 (a+1)X+a+1 aX+1 aX aX+a+1 X+a+1 (a+1)X (a+1)X (a+1)X+a 1 0 aX X+a (a+1)X+a+1 X+a+1 (a+1)X+1 (a+1)X aX+a+1 (a+1)X+a (a+1)X+a+1 (a+1)X+a aX X+1 X (a+1)X+1 X+a aX+a aX+a+1 (a+1)X+1 aX+1 a+1 aX+1 (a+1)X+a 0 0 aX aX+1 X+1 X+a 0 0 0 0 (a+1)X 0 0 0 aX aX aX (a+1)X X (a+1)X X (a+1)X X X aX (a+1)X X aX 0 (a+1)X X aX X X aX X 0 aX 0 0 (a+1)X (a+1)X 0 (a+1)X (a+1)X 0 0 (a+1)X 0 X X X X (a+1)X aX 0 aX 0 X (a+1)X 0 (a+1)X aX (a+1)X aX (a+1)X aX X aX 0 aX aX X 0 0 0 0 X aX (a+1)X X 0 aX X (a+1)X aX 0 (a+1)X X X 0 aX 0 X (a+1)X (a+1)X aX X aX aX aX X aX 0 (a+1)X X X X aX 0 X X aX 0 0 0 0 0 X X aX X 0 X X (a+1)X X X 0 0 X X 0 aX (a+1)X aX (a+1)X (a+1)X (a+1)X generates a code of length 66 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+126x^180+156x^181+108x^182+288x^183+1260x^184+528x^185+912x^186+1044x^187+2928x^188+1332x^189+1680x^190+1536x^191+4365x^192+1992x^193+2112x^194+2268x^195+5415x^196+2520x^197+2412x^198+2856x^199+5721x^200+2688x^201+2352x^202+2508x^203+4932x^204+2100x^205+1944x^206+1392x^207+2838x^208+840x^209+672x^210+324x^211+849x^212+132x^213+96x^214+72x^215+150x^216+27x^220+24x^224+18x^228+9x^232+9x^236 The gray image is a linear code over GF(4) with n=264, k=8 and d=180. This code was found by Heurico 1.16 in 19 seconds.