The generator matrix 1 0 1 1 1 X+2 1 1 2 X 1 1 1 1 0 1 X+2 1 1 1 X 1 1 2 1 X X+2 1 1 1 1 1 1 0 1 X 1 1 0 1 2 1 1 X X+2 1 1 1 1 1 1 1 0 0 1 X 1 X+2 1 0 0 1 1 1 1 1 1 1 1 1 X X+2 1 1 2 X 1 X 2 1 X 1 X X 1 1 1 1 1 1 0 1 1 0 X+3 1 X X+1 1 1 X+3 2 X+2 1 1 X 1 0 X+1 1 1 X 3 1 X+1 1 1 X 3 0 X+2 3 X+1 1 2 1 X+3 1 1 X 1 X+3 X 1 1 X+3 X X+2 X+1 0 X+3 3 1 1 X 1 1 1 X+2 1 1 X+1 0 0 2 X X+1 1 X X+2 1 1 X+2 3 1 1 X 2 2 0 2 X+2 1 1 3 X+3 1 1 2 0 0 0 X 0 X+2 0 0 0 2 2 2 X X+2 X+2 X X+2 X X+2 X+2 2 X+2 2 2 X X+2 X+2 0 2 0 2 X+2 X 2 X+2 2 X 2 0 X 0 0 X+2 X X+2 2 0 0 0 2 X+2 X X 0 2 0 X 2 0 X+2 2 0 0 X X+2 X+2 X 0 2 0 X+2 X+2 X 2 X X 2 0 X 0 X X X+2 X+2 2 2 X X+2 2 X+2 0 0 0 0 X 0 0 X 2 X+2 X X 0 X+2 X X 2 X X X+2 2 0 0 X 0 2 X+2 X X 0 2 X X+2 2 X X 2 X+2 X+2 2 0 X X 2 0 X X 2 2 2 X+2 0 X+2 X 0 0 X 2 0 2 0 0 X+2 X+2 0 2 X X X+2 X X X+2 X X 0 X X+2 0 2 X 0 0 X 0 X+2 X+2 2 0 X 0 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 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 0 2 2 0 2 2 2 2 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+35x^80+90x^81+170x^82+338x^83+323x^84+640x^85+383x^86+772x^87+457x^88+796x^89+485x^90+758x^91+408x^92+806x^93+334x^94+486x^95+215x^96+220x^97+116x^98+114x^99+65x^100+52x^101+31x^102+20x^103+27x^104+12x^105+11x^106+6x^107+4x^108+6x^109+2x^110+2x^111+1x^112+2x^113+2x^114+2x^118 The gray image is a code over GF(2) with n=360, k=13 and d=160. This code was found by Heurico 1.16 in 6.93 seconds.