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 2 X 2 0 2 0 1 X 1 X 2 1 2 1 1 1 0 2 1 X 1 1 X 1 2 1 2 2 1 1 1 0 X 1 X 1 X X X 2 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 X X+2 2 2 2 X+2 X+2 2 0 0 X+2 2 2 0 X X X 2 0 2 2 X 2 X 0 X+2 2 X+2 X+2 0 0 0 X+2 0 X X 0 X+2 0 X 2 X X+2 2 0 0 2 X+2 X+2 0 2 0 2 X 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X X X+2 2 X 0 0 0 X+2 X X X+2 X 2 0 2 2 X+2 0 X X X+2 X+2 X X+2 2 2 X 2 2 2 X X 2 X X X X+2 X X X+2 2 X+2 0 2 0 X 0 X X X 2 X+2 0 0 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 X 0 X 2 X X X 0 0 2 2 2 X 0 0 0 X X 2 2 0 0 2 2 0 0 0 X+2 X+2 X 2 X+2 X 2 2 0 2 2 0 X X+2 X X 0 0 0 X+2 0 X X+2 X+2 2 X+2 X+2 2 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X+2 X 0 2 2 X+2 2 X+2 2 X+2 X+2 X+2 2 2 X X 2 X+2 X X+2 0 0 0 X+2 2 X 0 X+2 2 X+2 0 X X X 2 0 X+2 2 2 2 0 X X+2 X X+2 X+2 X X 0 X+2 0 X 0 X+2 X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+200x^70+16x^71+394x^72+92x^73+599x^74+164x^75+684x^76+324x^77+832x^78+404x^79+929x^80+428x^81+811x^82+364x^83+633x^84+172x^85+419x^86+76x^87+287x^88+8x^89+144x^90+119x^92+57x^94+24x^96+10x^98+1x^112 The gray image is a code over GF(2) with n=320, k=13 and d=140. This code was found by Heurico 1.16 in 99.4 seconds.