The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 0 1 1 X+2 1 1 1 0 1 X+2 1 1 X+2 1 1 0 1 1 2 1 1 X+2 1 0 1 1 X+2 1 0 1 X 1 1 1 X 1 1 1 1 1 X 1 1 1 2 2 1 1 1 1 0 1 1 0 1 X 2 1 1 1 1 1 1 0 2 X 1 1 X X+2 1 1 1 0 1 0 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 1 X+1 X+2 1 3 X+3 0 1 X+2 1 3 3 1 0 X+1 1 X+2 2 1 X+1 3 1 X+2 1 X+1 0 1 3 1 3 1 1 X X+1 1 2 0 1 X X+1 1 X+1 X+2 X+3 1 1 X+2 X+3 0 2 1 3 3 1 2 X+2 1 X+1 0 X+3 X 3 X+3 1 1 0 X+1 X+3 0 1 1 3 X+3 0 X+3 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+48x^81+102x^82+190x^83+107x^84+336x^85+235x^86+362x^87+222x^88+338x^89+255x^90+392x^91+218x^92+352x^93+212x^94+296x^95+73x^96+188x^97+69x^98+26x^99+5x^100+16x^101+14x^102+14x^103+8x^104+2x^105+4x^106+2x^108+2x^110+1x^114+4x^116+1x^118+1x^122 The gray image is a code over GF(2) with n=360, k=12 and d=162. This code was found by Heurico 1.16 in 2.97 seconds.