The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 X 1 1 a*X X 1 1 1 1 1 1 0 1 1 X 0 1 X 1 1 1 X 1 1 X 1 1 1 1 1 1 1 a^2*X 1 0 1 0 0 0 X X a^2*X+1 a*X+1 1 a^2*X+a a*X+a a*X+a^2 a^2 a^2*X+1 a^2*X X+a a*X+a 1 1 0 0 X+a^2 a^2 a^2*X a*X+a^2 a*X+1 a^2*X X+a^2 1 a*X+a X+a^2 0 X X+a^2 a*X+1 a^2*X+a^2 1 a^2*X+a X 1 a^2*X+1 a*X+a^2 1 1 a*X 1 0 a*X+a X+a^2 1 a*X+a a^2*X+a 1 a*X+a X X a a^2*X+1 X+a^2 a^2*X+a 1 a 0 0 1 0 1 a^2*X+a a^2*X+a^2 a a^2*X a a*X+1 a a^2*X+a X+a^2 X a^2 a^2*X a*X+a 1 a X+1 a^2*X a*X+a a^2*X+1 X X+1 X+a^2 1 a^2 X a*X X+a^2 1 1 X+a^2 X+1 a*X+a a^2*X a^2*X+1 1 a*X+1 a*X+a a*X X+a^2 X a*X+a X X+1 X+a 0 a^2 X+a^2 X+1 a*X+1 a*X+1 a*X+a^2 a^2 0 a^2 1 a*X+a^2 a^2 a*X+a^2 0 0 0 1 a^2 a 1 a*X X+a a X a*X+a^2 a^2*X+1 0 X a^2*X+a^2 a^2 a^2*X a^2*X+a X+a^2 a^2*X+1 a*X+a^2 a*X+a a*X X+a X+a a^2 a*X a*X+1 a^2 a*X+1 a a*X+a X+a^2 X X+a^2 a^2*X X+a^2 X+a^2 a*X+a^2 X a^2*X+a a*X+1 1 a*X+1 1 a*X+a^2 a*X+a a*X+a a*X+a^2 a^2 a^2*X+a^2 1 a*X+1 a*X+a^2 a*X+a a*X X 0 a^2*X X+a a 0 0 0 0 0 X 0 a*X 0 0 0 X X a*X a*X a*X a^2*X a^2*X a^2*X X X a^2*X a*X X a^2*X X 0 0 0 a^2*X a^2*X a*X a*X 0 X a^2*X a*X 0 X 0 a^2*X a^2*X a*X a^2*X a*X a^2*X a^2*X 0 0 a*X X X 0 X 0 a^2*X a*X X a^2*X 0 0 X a^2*X a*X generates a code of length 63 over F4[X]/(X^2) who´s minimum homogenous weight is 169. Homogenous weight enumerator: w(x)=1x^0+192x^169+312x^170+672x^171+990x^172+1968x^173+1440x^174+2664x^175+3192x^176+4908x^177+3840x^178+5580x^179+5664x^180+8520x^181+7068x^182+9960x^183+9033x^184+13704x^185+9900x^186+13308x^187+12792x^188+17640x^189+13464x^190+15240x^191+13212x^192+16920x^193+11544x^194+12132x^195+9414x^196+11352x^197+5868x^198+6168x^199+3984x^200+4008x^201+1668x^202+1716x^203+915x^204+648x^205+192x^206+144x^207+123x^208+12x^209+24x^212+27x^216+9x^220+6x^224+6x^232 The gray image is a linear code over GF(4) with n=252, k=9 and d=169. This code was found by Heurico 1.16 in 240 seconds.