The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 X 1 X 1 2 1 1 1 1 X 1 1 1 1 X 0 1 1 0 X 1 2 1 1 1 X 0 1 1 X 2 1 2 2 1 1 X 1 1 2 1 X 1 X 1 1 0 X 0 0 0 X X+2 X 0 2 2 0 X X+2 X X+2 X+2 X+2 X+2 2 0 0 X+2 2 0 2 X X X+2 2 X+2 X X+2 2 2 X 0 X X X 2 2 0 X 0 0 2 2 X X X X X+2 X 2 2 2 0 X X X+2 0 0 X+2 X X 2 0 X X+2 0 2 0 X+2 X 0 X X 2 X 2 X+2 X+2 0 X+2 X 0 0 0 0 0 0 X 0 X X X+2 0 0 0 X+2 X+2 X X 2 0 X 2 0 X+2 X+2 2 X+2 2 X+2 0 2 2 X+2 X+2 0 X+2 0 2 0 X+2 X+2 X+2 2 X 0 0 2 2 2 0 X X+2 2 2 X+2 X 2 X+2 X X X 0 X+2 0 X X 0 X+2 0 X 0 X 0 0 X X 2 0 X+2 2 X X X+2 2 X+2 2 X X 2 0 X 0 0 X+2 0 0 0 X X 0 X+2 X 2 X+2 X 2 2 X X 2 0 X+2 0 X 2 X X 0 2 X 0 X+2 X X X+2 2 X+2 0 0 X X 0 X X+2 2 X+2 0 X+2 X X 2 X+2 X+2 X X X+2 2 2 2 0 0 X+2 2 2 2 0 X X 2 0 0 0 0 0 X+2 0 2 2 2 X+2 X 2 X 0 X 2 X 0 0 2 X+2 X+2 2 X+2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+23x^80+78x^81+112x^82+132x^83+229x^84+136x^85+407x^86+124x^87+533x^88+80x^89+575x^90+96x^91+534x^92+94x^93+321x^94+86x^95+139x^96+66x^97+91x^98+56x^99+48x^100+40x^101+18x^102+12x^103+20x^104+16x^105+9x^106+4x^107+9x^108+2x^109+2x^110+2x^111+1x^138 The gray image is a code over GF(2) with n=360, k=12 and d=160. This code was found by Heurico 1.16 in 2.28 seconds.