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 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 1 1 1 X 1 0 1 1 2 1 1 0 1 1 2 1 1 1 1 1 X 0 1 2 1 0 X 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 X+2 2 X+2 2 X 0 X+2 0 X 0 X+2 2 X 0 X+2 2 X 0 X+2 0 X+2 2 X+2 X 2 X+2 0 2 2 X X 0 X X 2 0 X+2 X+2 X+2 0 0 X+2 2 X 0 X X 2 0 X+2 0 X+2 2 X 0 X+2 2 X+2 X X X X+2 2 2 2 0 0 X+2 0 X X+2 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 0 2 2 0 0 0 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 2 0 2 0 0 0 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 0 0 2 2 2 2 generates a code of length 88 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+127x^80+54x^82+40x^83+210x^84+176x^85+98x^86+312x^87+165x^88+288x^89+54x^90+152x^91+127x^92+48x^93+30x^94+8x^95+86x^96+12x^98+36x^100+8x^102+13x^104+2x^108+1x^156 The gray image is a code over GF(2) with n=352, k=11 and d=160. This code was found by Heurico 1.16 in 1.04 seconds.