The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a*X a^2*X 1 X 0 1 1 a^2*X 1 1 1 0 1 a^2*X 1 1 1 1 1 1 1 1 1 a*X 1 1 a*X X 1 a*X 1 0 1 1 a*X 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 1 1 a*X 1 1 1 0 1 0 0 a^2*X a*X a^2*X X X X 1 a^2*X+a a^2 a*X+1 X+a a^2*X+a a*X+a X+a X+a^2 X+1 a^2*X+a^2 a*X+1 a^2*X+a^2 a*X+a^2 a*X+a a^2*X+1 a^2 a*X a^2*X a*X+a 1 1 a^2*X+1 1 1 1 a^2*X+a 1 a^2 a X+a^2 1 X a*X 1 a^2*X+a a^2*X+a^2 0 a^2*X+1 X+a^2 0 a*X+a^2 a^2*X+1 1 0 a^2*X+1 1 1 a^2*X 0 a^2*X+1 1 a^2*X+a^2 a^2*X+1 1 a*X+1 a*X+a 1 a^2*X+a^2 a*X+a a*X+a^2 a^2*X+a a*X+1 1 X+a a^2*X+a a^2*X+a^2 X+1 a*X+a a*X 1 X+a^2 X+1 a*X 0 0 1 0 0 X X a^2*X+1 a a^2*X+a^2 a*X X a^2*X a*X+a^2 X+a a*X a^2*X X+1 X+a^2 a^2*X+1 X+1 a^2*X a^2 X+a a^2 X+a^2 a a*X+a a*X+1 a*X+a 0 a^2*X+a^2 X+a a*X+a a*X a^2*X+1 X+1 X+a 1 a*X+a^2 a*X+a^2 X+1 a*X+a^2 1 X+a^2 1 a*X a^2*X+1 a X+a a^2 a^2 a^2*X X+1 a*X+a^2 a^2*X+a X+a a^2 a*X+a 1 0 a^2 X+a^2 a^2 1 a*X a^2*X+a^2 a*X+a X+a X+1 a*X a^2 1 a^2*X+1 a*X+a^2 a^2*X a a^2 a^2*X+1 a*X+a X+a^2 a*X+a^2 a 1 0 0 0 1 1 a^2*X+a a^2*X+a^2 a^2*X+a^2 a^2 a*X+a^2 X+a^2 X+a^2 X+a^2 a a^2*X+1 X a*X+1 a*X+1 X 1 1 a*X+a X+a a^2*X+a^2 X+1 a*X a a a^2*X+1 a^2 X+a^2 a^2*X X X+a a^2*X+1 a*X a^2*X a*X+a^2 a*X a^2*X+a^2 a^2*X+1 a a^2*X+a a^2*X+1 X+1 a^2*X+a^2 a^2*X+a a^2*X+a X+a X+1 a^2*X a*X+a^2 1 X+1 1 a*X+1 a*X+1 a^2*X+a a^2*X a^2 a a^2*X+a^2 a a^2 a^2*X+a^2 0 X+a^2 a^2*X+a^2 a*X a^2*X+a a a*X a^2*X+a a*X+a X+a^2 X a*X+1 X 0 a*X+a a*X+1 0 X+a a^2*X+a^2 generates a code of length 84 over F4[X]/(X^2) who´s minimum homogenous weight is 236. Homogenous weight enumerator: w(x)=1x^0+1188x^236+1020x^238+4572x^240+2112x^242+6048x^244+2928x^246+7521x^248+3348x^250+8196x^252+3108x^254+8025x^256+2904x^258+6348x^260+1824x^262+3636x^264+924x^266+1344x^268+240x^270+210x^272+24x^274+12x^276+3x^280 The gray image is a linear code over GF(4) with n=336, k=8 and d=236. This code was found by Heurico 1.16 in 656 seconds.