The generator matrix 1 0 0 0 1 1 1 1 3X 1 X+2 1 1 X+2 2X+2 1 0 1 1 3X 1 1 2X 2 3X 2 1 1 3X 3X+2 2 1 1 1 1 1 1 1 3X+2 2X 3X X+2 3X 1 1 0 1 1 3X+2 1 1 3X X+2 1 X+2 2X+2 X 1 1 1 1 1 1 3X 1 1 1 1 1 1 1 2X+2 X 1 3X+2 2X 3X 3X 2X+2 3X 1 0 1 2 X 1 1 2X+2 1 1 0 1 0 0 0 2X+3 2X 3X+3 1 2X 2 X+3 3 1 1 3X+2 2 2X 0 1 3X+1 3X+3 1 1 1 3X+2 X+2 X+3 0 X+2 1 3X+2 1 X 2X+2 X+1 0 1 1 X+2 1 X 1 2X+3 2X+3 1 3X+3 X 1 X+3 3X+2 2 1 3X+3 1 3X 2 X X X+1 2X+3 2X 3X+2 3X X+1 2X+1 X+2 1 2X+2 X+3 2X+2 1 0 X+1 1 3X+2 1 1 1 1 X+2 1 X 1 1 2X+2 2 1 3X+3 2X 0 0 1 0 2 2X+2 2X+3 1 X+3 2X+1 1 X 3 X 3 3X+2 1 3X+3 X+1 1 X+2 X+3 2X+2 3X+1 2X 2 2X 2X 1 1 1 2X+2 X+3 1 X+1 2X+3 X+2 X 2 1 2X 3X 3X+2 X+2 1 3 2X 3X 3X+1 3X X+3 3X 3X+2 3X+2 0 1 0 3 2X+2 3X+3 X+1 3X 2X+1 1 X+2 2 X 1 2X+2 X+1 3 3X+2 1 2X+2 3X 1 X+3 2X+3 X+2 2X+2 X+3 3 X+2 0 0 3X+3 1 3X 3X 3 0 0 0 1 X+3 3X+1 X+1 3X+3 X X X+3 2X X+2 3X+1 1 0 1 2X+2 2X+3 0 3 3X 3X+2 3 3X+3 1 3X+3 2 2X+2 X+3 3X+1 2X+1 1 3X+1 X+2 X+2 2X 3X+1 1 3X+2 X+2 1 3 2X+2 2X+1 2X 3X 3 2X+3 3X+3 1 1 3X 2X 2X+2 2 1 3X 2X+2 2X 3X+1 3X+1 3 3 3X 0 3X+2 2X 1 3X+1 X+2 2X+2 2X 2X+3 1 2X+3 2 3X+1 2X+3 2X+2 3X 3X+1 X+3 3 3X+1 X+3 2 3X+1 2X+3 3X+3 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 2X 0 2X 2X 0 0 0 0 2X 2X 0 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 2X 2X 2X 0 0 2X 0 0 2X 0 0 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 2X 0 0 2X 2X 0 2X 0 2X 2X 0 0 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 2X 2X 0 0 generates a code of length 90 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+720x^82+1874x^83+4073x^84+5586x^85+8502x^86+10084x^87+13197x^88+13606x^89+15593x^90+14260x^91+13857x^92+10062x^93+8022x^94+4890x^95+3413x^96+1582x^97+1040x^98+430x^99+129x^100+66x^101+38x^102+14x^103+17x^104+8x^105+3x^106+1x^108+2x^109+2x^110 The gray image is a code over GF(2) with n=720, k=17 and d=328. This code was found by Heurico 1.16 in 206 seconds.