The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 1 2 X 1 1 X 1 1 2 1 1 X+2 1 1 1 1 1 1 X 1 X X 1 1 2 1 X 1 0 1 1 0 1 1 1 1 1 2 1 2 1 1 X 0 1 1 1 1 1 1 1 X 0 1 1 1 1 1 1 0 2 2 2 X+2 1 0 1 0 1 1 2 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 X X+1 1 2 3 1 1 X+2 1 1 0 X+3 1 1 X+2 1 3 0 1 X+1 X+1 X 1 2 1 1 X 3 1 X+1 1 X 1 2 X+1 1 2 X+3 1 2 X 1 2 1 X+1 3 1 1 X+2 3 X 3 3 X+3 1 1 1 X 1 2 2 0 X+1 1 1 1 1 1 X 1 X+1 0 1 X+2 X 2 0 0 X 0 X+2 0 X+2 2 X X X 2 X+2 0 2 X+2 2 X+2 X 0 X+2 2 0 X 0 X 2 0 X+2 2 0 X+2 0 X+2 X+2 X X 2 X 2 X 2 X+2 2 X+2 2 X 2 X 0 X 0 0 X+2 X+2 0 0 2 2 X X+2 X X+2 0 X X X 0 0 X+2 X X 2 2 X+2 2 2 X X 2 0 2 0 X 2 X X+2 2 0 0 0 2 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 2 0 2 0 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+137x^80+100x^81+259x^82+200x^83+349x^84+232x^85+416x^86+224x^87+343x^88+248x^89+383x^90+264x^91+333x^92+168x^93+169x^94+80x^95+79x^96+20x^97+26x^98+23x^100+19x^102+10x^104+8x^106+2x^108+2x^112+1x^116 The gray image is a code over GF(2) with n=352, k=12 and d=160. This code was found by Heurico 1.16 in 1.71 seconds.