The generator matrix 1 0 0 1 1 1 X+2 1 1 X 1 2 1 2 1 1 X 1 X 2 1 1 1 1 2 X+2 X+2 1 1 1 1 0 1 X 0 X 1 1 1 1 1 X 1 1 1 0 1 X X+2 X+2 1 1 2 1 1 1 1 1 1 1 0 X+2 0 1 2 0 2 1 1 1 1 X X+2 1 1 0 2 1 0 1 1 1 1 X+2 1 1 1 2 1 1 0 1 0 0 1 X+3 1 X+2 X+3 1 3 1 X X X 0 X 3 1 1 X+1 1 X+2 X+2 1 2 1 X+1 X+2 0 X+1 X 1 1 1 1 2 0 1 X+2 X+2 1 0 3 3 X+2 X+2 X 1 1 3 X+3 1 1 X+3 2 X+2 3 X X+3 X 1 1 X+1 2 1 1 3 X+2 X+1 2 1 X+2 3 X+1 1 2 0 1 X+1 0 X 1 X X+1 3 2 1 1 0 0 0 1 1 X+1 0 X+3 1 X+3 X+2 X 3 X 1 X+1 X+2 1 1 3 X X+2 0 2 3 X+2 1 1 3 2 X+1 0 1 X+1 1 X X+3 X+3 0 X X+3 0 2 2 X+3 1 1 3 1 1 2 3 2 X+2 3 X+1 X+3 3 2 0 0 1 X+2 0 1 1 X X+1 0 X+3 0 X+2 2 1 2 3 3 1 X+1 3 3 2 X+2 X+2 1 X+3 X 2 1 X+3 0 0 0 0 X X X+2 0 X+2 X+2 0 X+2 2 2 0 X 2 2 X 2 0 X X+2 0 X 0 2 2 X+2 0 X+2 0 X 0 X X X 2 X 2 0 X+2 X+2 2 X 0 X+2 X X 0 2 X+2 0 X+2 2 0 2 2 0 X 0 2 X X+2 0 X+2 X X+2 X+2 0 2 X+2 X+2 X+2 X+2 0 X+2 0 2 X+2 X X+2 X 2 X 0 2 0 2 X+2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 2 0 0 2 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 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+57x^80+254x^81+342x^82+676x^83+747x^84+1008x^85+925x^86+1338x^87+1057x^88+1432x^89+1141x^90+1398x^91+1003x^92+1308x^93+822x^94+900x^95+507x^96+488x^97+342x^98+244x^99+121x^100+106x^101+63x^102+46x^103+17x^104+10x^105+7x^106+2x^107+9x^108+2x^109+6x^110+4x^111+1x^112 The gray image is a code over GF(2) with n=360, k=14 and d=160. This code was found by Heurico 1.16 in 18.9 seconds.