The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 a^2*X a^2*X 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 a*X 1 a^2*X 1 0 0 a*X 1 1 0 1 1 1 1 1 1 1 1 X 1 a*X 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 0 1 0 0 0 a^2*X 1 a^2*X+a a^2 a^2*X+1 a^2*X+1 a a^2*X+a^2 a^2 1 1 a^2*X+a 1 a^2*X+a^2 a 1 a*X+a^2 a^2 a*X X+1 a*X+a 1 a^2*X+a a^2*X+1 a*X a*X+a a*X+a^2 1 X+a 0 1 a^2 1 a*X+a 1 a^2*X 1 1 1 a^2 a^2*X a^2*X a^2*X+a^2 a X+1 X+a^2 X a*X+a a^2*X+a^2 a^2*X+1 1 X+a 1 0 X+a X+a a*X+a 1 a^2*X+a^2 a^2*X a^2*X+1 1 a^2*X+a X+1 a X+a 0 0 1 1 a a^2 1 X+1 1 a 0 X a*X+a a^2 X+1 a^2 X+a^2 a^2 0 a*X+a X+a X+1 a^2*X X a^2*X a X+a^2 X+a^2 a^2*X+1 a*X+a^2 a^2*X+a a*X+a^2 a^2*X+a 0 a a*X X+a a^2*X+1 a^2*X+1 X+a a*X a^2*X+a^2 a*X+a^2 a*X+1 a*X+a a^2*X+1 1 a*X a*X+1 a*X+a^2 a^2*X+a^2 X+1 a a^2*X+a a*X+a a*X+1 a^2*X X+1 X+a a*X+1 a^2*X a^2*X X a*X 1 a^2*X+a^2 a*X a*X+a a a^2*X X+a 0 0 0 a^2*X 0 0 0 X X X a^2*X a*X a*X a*X a*X a^2*X a^2*X X a^2*X X a*X 0 0 a^2*X a*X X X a*X 0 X a^2*X X a^2*X a*X a^2*X X a^2*X 0 X a*X a^2*X X X a^2*X a*X X X X 0 0 0 X a^2*X X a*X a*X 0 0 a*X a^2*X a^2*X X 0 0 a^2*X 0 a*X 0 a^2*X X a*X 0 0 0 0 X a^2*X a*X X a^2*X a*X a*X X 0 a*X X a*X X a^2*X X a*X 0 X a*X a^2*X a^2*X a^2*X X 0 a^2*X a*X a*X X X a*X a^2*X X a*X a*X 0 a^2*X 0 X a*X a^2*X a^2*X X a*X a*X X X a^2*X a*X X a^2*X a*X a*X a^2*X X X a^2*X a*X a^2*X a^2*X X a^2*X a*X a*X 0 a^2*X 0 0 generates a code of length 71 over F4[X]/(X^2) who´s minimum homogenous weight is 196. Homogenous weight enumerator: w(x)=1x^0+291x^196+504x^197+36x^198+612x^199+1629x^200+1752x^201+240x^202+1560x^203+2913x^204+2928x^205+444x^206+2352x^207+3651x^208+3360x^209+540x^210+2880x^211+5457x^212+3828x^213+780x^214+3276x^215+5070x^216+4164x^217+600x^218+2760x^219+3927x^220+3096x^221+372x^222+1512x^223+1977x^224+1416x^225+60x^226+384x^227+480x^228+396x^229+24x^231+132x^232+60x^233+15x^236+27x^240+18x^244+3x^248+3x^252+6x^256 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 21.1 seconds.