The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 X+2 1 1 2 1 1 2 1 1 1 1 1 X 1 X X 1 1 1 2 1 1 1 0 1 2 1 0 1 X 1 1 0 2 1 1 X X 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 X 2 1 1 1 X 1 X 1 X+2 2 X 0 X+2 1 1 1 2 1 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X+2 1 X+3 X+2 1 X+3 0 1 1 1 2 X+1 0 1 X+1 1 1 0 X+2 1 1 3 X X+1 1 3 1 1 1 2 1 X+1 X 1 1 X+1 0 1 1 X+1 1 1 1 X+2 X+2 2 2 0 0 3 2 2 X+3 1 1 X X+2 X+2 1 X 0 X+1 1 X 1 3 0 X+1 1 1 1 1 1 1 2 X+2 2 2 0 0 X 0 X+2 0 X+2 2 X X X 2 0 0 X+2 X+2 X 0 2 2 X 2 X X X 0 0 X X+2 0 0 X+2 X 2 X X 0 2 X+2 X 2 X X+2 2 X+2 X+2 0 2 0 0 X+2 X 2 0 2 0 X+2 X+2 X 0 2 0 0 X+2 2 2 0 X 2 X X+2 X X X X 2 2 X X 0 X 2 0 0 0 X 0 X X X 0 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+48x^82+198x^83+136x^84+358x^85+301x^86+388x^87+260x^88+432x^89+185x^90+342x^91+188x^92+318x^93+173x^94+284x^95+150x^96+144x^97+41x^98+54x^99+18x^100+26x^101+10x^102+12x^104+5x^106+14x^107+2x^108+2x^109+3x^110+1x^112+1x^114+1x^118 The gray image is a code over GF(2) with n=360, k=12 and d=164. This code was found by Heurico 1.16 in 1.83 seconds.