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 (a+1)X 1 1 1 1 1 1 1 1 0 0 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 0 aX 0 X 1 1 1 (a+1)X 0 X 1 1 1 X 1 1 1 1 0 aX 1 aX X 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 a 1 aX 1 X+a X+a+1 X+1 aX a+1 1 (a+1)X+a (a+1)X+a+1 aX 1 a (a+1)X+a aX 1 X aX (a+1)X a+1 (a+1)X+1 aX+a+1 1 a aX+a 1 1 1 1 0 X+a (a+1)X+1 1 1 1 (a+1)X+a+1 a+1 aX+a+1 1 1 (a+1)X+1 (a+1)X+a+1 (a+1)X+1 1 0 (a+1)X+a+1 X 1 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 X a+1 X+1 (a+1)X (a+1)X+1 X+1 (a+1)X a X+a+1 (a+1)X+1 X (a+1)X+a 1 (a+1)X+a X+a+1 X+a (a+1)X+a+1 1 (a+1)X+1 X+a+1 X (a+1)X a aX+a X X+a X+a+1 (a+1)X (a+1)X+a+1 1 aX+a+1 (a+1)X+1 (a+1)X (a+1)X+1 (a+1)X+a+1 (a+1)X aX+a+1 a+1 X X+a (a+1)X+a X+1 aX+1 aX+a+1 1 aX 1 a+1 1 X+a+1 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 X aX X 0 0 (a+1)X 0 aX 0 (a+1)X aX 0 X X 0 (a+1)X (a+1)X aX X X (a+1)X (a+1)X 0 (a+1)X aX 0 0 (a+1)X X aX aX aX 0 X 0 X (a+1)X aX 0 (a+1)X aX X (a+1)X 0 (a+1)X X 0 0 X 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 0 X (a+1)X (a+1)X X (a+1)X aX X 0 0 aX X 0 (a+1)X (a+1)X X (a+1)X aX X aX 0 (a+1)X (a+1)X X X 0 X aX (a+1)X 0 aX (a+1)X 0 (a+1)X 0 aX X (a+1)X aX (a+1)X 0 0 (a+1)X aX X (a+1)X X (a+1)X 0 X generates a code of length 69 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 190. Homogenous weight enumerator: w(x)=1x^0+288x^190+252x^191+627x^192+288x^193+1224x^194+1476x^195+1467x^196+576x^197+2916x^198+2292x^199+2388x^200+960x^201+3696x^202+3108x^203+2820x^204+1008x^205+5016x^206+3588x^207+3078x^208+1500x^209+5052x^210+3876x^211+3090x^212+1056x^213+4212x^214+2508x^215+1917x^216+600x^217+1704x^218+1116x^219+750x^220+144x^221+432x^222+192x^223+123x^224+12x^225+36x^226+24x^227+45x^228+30x^232+21x^236+9x^240+12x^244+3x^248+3x^252 The gray image is a linear code over GF(4) with n=276, k=8 and d=190. This code was found by Heurico 1.16 in 27.6 seconds.