The generator matrix 1 0 0 0 1 1 1 1 X 1 X+2 1 1 3X 2X+2 1 X+2 1 2X 0 X 1 1 2X 1 1 2X 1 2X+2 1 1 X 1 1 3X+2 2X 1 X+2 2 1 1 1 1 1 2X 1 2 1 3X+2 2X 1 1 2X+2 1 2X X+2 X+2 3X+2 2X+2 0 1 1 1 1 1 1 1 1 1 1 X+2 1 2X+2 0 1 X+2 1 2X+2 X X 1 1 3X 0 X+2 1 1 1 2X+2 2 1 0 1 0 0 0 3 2X X+3 1 2X 2 3X+3 2X+3 1 1 2X+2 1 2X+1 2X 1 1 1 1 2X+2 2X 3X X 3X+2 1 X 2X+1 1 3X+2 X+3 3X+2 1 2 3X 0 X X+2 X+3 X+1 1 1 2X 1 3X+2 1 3X 0 3 X+2 1 1 X 1 2 1 2 2X+3 X+1 X 2X+3 X+2 0 X+1 X+1 3X+3 1 1 2X+1 X+2 X+2 3X 0 3X 1 1 1 X+2 2X+3 1 1 1 X+3 3X+2 1 1 1 2X+1 0 0 1 0 2X+2 2 3 1 3X+3 2X+1 1 X 2X+3 X X+3 2X+2 2X+2 3X+3 X+2 X+2 1 2X+2 0 1 3X+3 3X+1 1 2X+2 1 3X+1 1 3X+2 2X X+1 3X 3X+1 3 1 1 3X+2 2 2X+2 2 X+3 3X+2 3X+1 3 3X+3 X 3X+2 3X+3 1 1 X+2 3 1 X+1 3X+2 3X+2 1 2X X+1 2X+2 1 1 2X+1 2X+1 2X 3X+1 3X 3 3 1 2X 2 1 3X X X+1 X+2 X+3 X+1 3 3X+1 0 3X+1 X+1 2X+1 1 2X+1 3 0 0 0 1 3X+3 3X+1 X+1 X+3 3X X X+3 0 X+2 X+3 3X+1 X 2X+1 2X 1 2X+2 3X+2 3 3X X+1 2X+3 2X 3X 1 1 3X+2 3X+1 3 3X+2 3X+1 1 1 1 X+1 3X+2 2 X+3 3X 3X+3 3X+2 X+2 X+2 X 2X+3 X 1 X+3 2X+1 X+1 X 2X X+2 2X+2 1 1 3X 2X+3 2 X+3 X+3 3 X+3 2X+3 1 2X+3 2X+3 3X+3 2 2X+3 1 2 X+1 3X+3 0 2X+3 1 3X+3 2X+1 3 X X+3 2X+2 3 X X 3 3X+1 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 0 0 0 2X 2X 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 0 2X 0 0 2X 2X 0 0 0 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 0 0 0 0 0 2X 0 0 2X 0 0 2X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 2X generates a code of length 91 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+724x^83+2073x^84+4040x^85+5678x^86+8246x^87+10151x^88+12772x^89+14123x^90+15812x^91+14131x^92+13134x^93+10110x^94+8138x^95+5334x^96+3312x^97+1679x^98+912x^99+321x^100+172x^101+78x^102+54x^103+40x^104+4x^105+10x^106+13x^108+6x^109+2x^111+2x^114 The gray image is a code over GF(2) with n=728, k=17 and d=332. This code was found by Heurico 1.16 in 276 seconds.