The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 X 0 1 1 X 1 1 1 1 2 1 1 X 1 1 2 1 2 1 1 1 2 1 1 1 1 X 0 X 1 X+2 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 2 1 X 1 1 1 2 1 1 0 1 1 1 X+2 X 1 0 X 1 1 1 1 2 1 1 1 1 1 0 1 0 1 1 0 X+3 1 X+1 X+2 1 2 3 1 X X+3 1 1 X+3 X+2 1 3 X 3 0 1 X+2 3 1 X+3 0 1 1 1 X+1 0 3 1 X X+1 X+2 X+3 1 1 1 0 1 X+1 2 X X X+3 X+3 1 X+2 X+1 0 3 1 2 3 0 1 1 1 X+1 X+1 2 1 X+3 3 1 1 X+3 0 1 1 X+3 1 2 X+1 X+3 3 X+3 1 X X X+2 X+1 X 1 X+2 0 0 X 0 X+2 0 2 2 X X+2 0 X+2 X+2 2 0 X+2 X+2 X+2 X 2 0 X+2 X 2 X+2 2 X 0 2 X X+2 0 2 X+2 X+2 2 X+2 X 2 X X 2 2 0 0 2 X X+2 2 X+2 2 X+2 X 2 2 X X+2 2 0 X+2 X+2 X 2 X X+2 2 2 0 2 2 X X+2 0 2 2 2 0 X+2 X X 0 X+2 2 2 2 X X 2 X 2 0 0 0 X 0 0 0 2 2 2 2 0 2 X+2 X+2 X X X+2 X X+2 X+2 X+2 X X 0 2 X 2 0 X 0 X+2 X X+2 X X 2 0 X+2 X 2 0 X+2 X 0 0 2 X+2 X+2 X X+2 2 X X+2 X+2 X+2 X 0 X+2 0 2 X+2 2 0 2 0 2 0 2 X X+2 X+2 0 0 2 2 X 0 X+2 0 0 X 2 2 X+2 0 X+2 0 0 X+2 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 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+38x^82+178x^83+177x^84+356x^85+256x^86+414x^87+235x^88+394x^89+220x^90+354x^91+201x^92+358x^93+195x^94+298x^95+129x^96+148x^97+37x^98+24x^99+9x^100+12x^101+7x^102+8x^103+11x^104+10x^105+12x^106+4x^107+4x^108+2x^109+2x^110+1x^122+1x^124 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 1.76 seconds.