The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 1 2 1 1 1 X+2 0 1 1 1 1 X X 1 1 2 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 0 1 X+2 1 1 1 1 1 1 X+2 1 1 0 1 0 0 1 1 1 1 0 1 X 2 1 1 X 0 1 1 0 1 1 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 2 X+3 1 X X X+1 1 1 3 X+1 X 0 1 1 X+3 X 1 3 0 X+2 X+3 1 2 1 0 1 1 1 X+3 X+1 X X 1 X 1 X+3 2 X+2 X X+1 X+3 1 X+1 1 1 0 1 1 1 0 1 X 1 0 1 1 X X+1 1 1 X+1 X+2 2 2 0 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 X X X X+2 X X+2 X+2 X+2 X+2 X X X X X X+2 2 X+2 X+2 X+2 X+2 X 0 2 X+2 X+2 0 X+2 X X 0 X+2 X+2 2 X X+2 X+2 X+2 X+2 2 X+2 X 2 X+2 2 2 2 X+2 X+2 2 0 X+2 0 0 0 X 2 0 0 X+2 X+2 X 2 X+2 2 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 0 X+2 X X+2 2 2 0 X X X+2 X 0 X+2 X 2 X+2 0 0 0 X X+2 0 X+2 0 X X+2 X+2 0 2 2 0 2 0 2 X 2 X 0 0 0 2 X X+2 2 X+2 2 2 2 X 0 X 0 X+2 X X+2 0 X+2 0 0 X+2 2 0 2 X+2 0 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X+2 X X+2 X+2 2 X X 0 0 0 2 X X 2 X 2 0 2 X 2 X+2 2 X X 0 2 X+2 X+2 X+2 0 2 X+2 X+2 X 2 2 X+2 X 0 0 X X X+2 2 2 2 2 2 X 2 2 0 2 2 X X 0 X+2 2 X+2 2 X X 2 X 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 generates a code of length 91 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+139x^82+96x^83+420x^84+292x^85+649x^86+348x^87+731x^88+504x^89+731x^90+592x^91+725x^92+500x^93+708x^94+380x^95+459x^96+240x^97+279x^98+120x^99+89x^100+85x^102+44x^104+25x^106+20x^108+6x^110+4x^112+2x^114+1x^116+1x^120+1x^124 The gray image is a code over GF(2) with n=364, k=13 and d=164. This code was found by Heurico 1.16 in 7.12 seconds.