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 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 X 1 1 1 1 1 1 0 1 1 1 0 1 X 1 2 1 X X X 1 X 1 1 0 X 0 X 0 0 X X+2 0 2 X X+2 0 2 X X 0 2 X X+2 X 0 0 X 2 X+2 2 X+2 2 0 X+2 X X X+2 0 2 X 0 X+2 0 X+2 0 X+2 2 2 0 X+2 2 X 0 X+2 2 X 0 X+2 X+2 2 X+2 X 2 X X X X+2 0 2 0 0 X X+2 0 2 0 X+2 2 X+2 2 2 X+2 2 X X+2 X+2 0 X 0 X+2 2 2 0 0 X X 0 X+2 X 0 2 X X 0 2 X+2 X 0 0 X X 0 X+2 2 X+2 2 2 X+2 X+2 0 0 X X 2 X 0 0 X X 2 0 X X+2 X+2 2 0 X X+2 X+2 0 2 X 0 2 X+2 X 2 X+2 0 0 X X X 0 2 X+2 0 X+2 X+2 2 X+2 X 2 2 2 X X+2 X X 2 0 2 X X 0 X+2 X X 2 X+2 X 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 2 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+46x^81+108x^82+72x^83+72x^84+120x^85+175x^86+204x^87+164x^88+222x^89+215x^90+150x^91+116x^92+86x^93+82x^94+58x^95+19x^96+20x^97+44x^98+18x^99+12x^100+18x^101+15x^102+10x^103+1x^154 The gray image is a code over GF(2) with n=356, k=11 and d=162. This code was found by Heurico 1.16 in 13.4 seconds.