The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 X+2 1 1 0 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 1 1 X+2 1 1 2 1 1 1 X 1 0 1 1 0 0 X 1 1 2 1 0 1 2 1 X 1 1 1 1 1 1 1 1 2 1 1 X X+2 X 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 3 1 0 X+2 X+1 1 X+2 X+1 1 0 2 1 3 X+2 X+2 X+1 1 X 0 1 1 X+1 0 1 X 1 X+3 3 1 1 1 3 0 1 2 1 X+3 1 X+3 1 X+1 0 X+2 X 1 3 1 1 1 X+1 X X+2 1 1 1 X+2 X+2 2 X 2 3 3 1 0 X 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 2 0 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+50x^76+28x^77+193x^78+104x^79+415x^80+128x^81+449x^82+152x^83+451x^84+200x^85+465x^86+152x^87+438x^88+128x^89+366x^90+104x^91+153x^92+28x^93+50x^94+16x^96+7x^98+6x^100+3x^102+2x^104+2x^106+1x^108+1x^110+3x^116 The gray image is a code over GF(2) with n=340, k=12 and d=152. This code was found by Heurico 1.16 in 1.57 seconds.