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 X 1 0 1 1 1 X 1 1 0 X 1 0 1 1 1 1 1 1 2 X 1 X X 1 1 X 1 X 2 2 1 1 X 1 X 1 1 X 1 1 1 X 1 0 1 2 1 2 X X 1 2 1 1 0 X 0 0 0 0 0 0 2 X X+2 X+2 X X X+2 X+2 2 2 0 X X X+2 X 0 X X 0 X+2 X 2 2 2 X+2 X+2 0 X+2 X+2 X 2 X+2 X+2 X+2 X 0 X X+2 2 0 2 X 0 X+2 X X 2 X X 0 2 X+2 X 0 2 X+2 X 0 X+2 0 X X X 0 X+2 2 X 0 2 X+2 X+2 2 0 X X X X 0 0 X 0 0 0 0 X 0 0 0 X X+2 X+2 X X 2 X X 2 0 2 X+2 X+2 X+2 0 X X+2 X+2 0 X+2 X+2 2 2 0 0 2 2 X+2 0 X+2 X+2 X+2 2 2 X+2 0 X+2 X 0 0 2 2 X 0 X 0 X+2 X 2 2 X 2 2 X+2 X+2 X+2 2 X+2 0 X 0 2 X+2 2 X+2 X+2 X X+2 X X+2 X X 2 X 2 2 X 0 2 0 0 0 X+2 0 0 0 0 X 0 X X X 0 2 0 X X+2 X+2 X 2 2 0 0 0 2 2 X+2 X X+2 X X 0 X 2 X+2 X+2 X+2 X X+2 X+2 X+2 X X 0 2 2 X+2 2 0 X X+2 2 X+2 0 X+2 0 X+2 0 X 0 0 0 X 0 2 2 0 X+2 2 2 X+2 2 X X+2 X 0 X+2 2 X+2 X+2 X+2 X X+2 0 0 X 0 2 0 0 X+2 0 2 0 0 0 0 0 X X 2 X+2 X 2 X 0 X 0 X X X+2 X+2 0 2 X X 2 0 2 X+2 X+2 0 X 0 2 X X+2 X X+2 2 X+2 2 0 0 X 2 2 2 2 X+2 2 X X 0 X X X+2 X X+2 X X+2 X X X X+2 0 X+2 X+2 2 2 X X+2 0 0 2 2 0 X+2 2 0 0 0 2 2 0 0 0 0 X X+2 X X+2 X 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 0 2 0 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+17x^80+82x^81+116x^82+190x^83+219x^84+208x^85+216x^86+326x^87+317x^88+290x^89+382x^90+266x^91+283x^92+272x^93+196x^94+138x^95+119x^96+108x^97+70x^98+78x^99+47x^100+50x^101+38x^102+20x^103+18x^104+10x^105+2x^106+6x^107+2x^108+2x^109+2x^110+2x^113+2x^114+1x^132 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 2.24 seconds.