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 2 0 1 1 1 X+2 1 1 1 X 1 3X 3X 2X 0 1 1 3X+2 1 1 1 3X+2 1 2X 1 2 1 1 3X X X+2 1 2 1 1 0 1 1 1 2X+2 X X+2 1 3X 1 1 1 3X X+2 0 2X+2 0 X 1 2X+2 1 1 1 1 2X X 1 1 1 1 1 1 1 X X 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 2X+2 2X 3 1 1 X+1 X X 2X X+2 X 1 X 1 2 X+2 1 X+2 3X+3 3X+1 0 X 1 3X+1 1 2X 1 X 2X+2 1 2X+2 X X+3 1 X 3 X+3 X 1 1 1 X+3 2 1 X 0 1 1 1 1 1 1 3X+1 3X X+1 X+3 0 2X 1 1 3X+2 2X+3 X+3 2X 2X+3 X+2 X+2 1 3X+2 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 3 1 3X+3 3X X+1 2X+3 3X+2 2 3 1 0 1 2 1 2X 2X+1 X+3 2X+2 3 2X 3X+2 3X 2 3 3X+1 2X+1 2 3X+1 1 2X+2 3X+2 3X+3 1 X+2 3X+3 3X+2 2X+1 3X+1 X 3X+3 0 2X+2 2 1 X 2X+2 X+2 3X X+1 2X+1 X X+3 2X+3 3X+3 1 X+2 3 2 1 3X+1 2X+1 3X+3 3X+3 2X 2X 0 2X+2 3 1 1 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 X+3 3X+3 2X+3 2 2X+1 2X+2 3 X+3 X 1 3X+2 X 3X+3 2X 3X+2 2X+1 2 2X 2X 1 3X+2 1 2X+2 X 3X 3 2X+1 X+1 0 1 3X+2 X+1 2X+1 X+3 2 1 3X+1 2X+1 2X+2 3X 3X+3 X X+2 3X+3 1 3 2X+3 2X+3 2X+2 X+3 3X+3 1 X+2 3X+3 X 2 3X+1 X+3 3 3X+2 3X+1 1 3X+2 0 2X+2 2X+1 X+1 3X+3 3 0 0 0 0 0 2X 2X 2X 2X 0 2X 0 2X 2X 0 0 2X 0 2X 0 0 0 0 2X 2X 2X 0 2X 2X 2X 0 2X 0 0 0 0 2X 2X 0 2X 0 0 2X 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 2X 0 0 0 2X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 0 2X 2X 0 0 0 0 2X generates a code of length 90 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+674x^82+2012x^83+3710x^84+5860x^85+7817x^86+10820x^87+13523x^88+14152x^89+14534x^90+14616x^91+13151x^92+10620x^93+7923x^94+5068x^95+3126x^96+1816x^97+849x^98+452x^99+161x^100+92x^101+38x^102+24x^103+18x^104+3x^106+6x^108+4x^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 247 seconds.