The generator matrix 1 0 0 1 1 1 X 1 X+2 1 1 X 1 2 1 1 2 1 X 1 0 1 X 0 0 1 1 0 1 1 1 1 X 2 1 1 2 1 X 1 1 1 X+2 0 X 1 1 1 0 1 2 1 0 X+2 1 X+2 X X+2 1 2 1 1 1 1 0 0 1 0 X+2 1 X+2 1 1 1 1 1 X+2 X 2 X 1 2 X+2 2 1 0 1 0 0 1 X+3 1 2 0 2 X+3 1 1 1 2 0 1 1 1 3 X X 1 0 1 X 3 1 X+1 X 3 2 X 1 X X 1 X+1 1 X+3 X+2 1 0 1 2 3 0 X+1 1 X+1 2 X 0 2 2 1 1 X X 1 X+3 X+1 X+2 X X 1 3 X+2 X X+2 X 2 2 1 X+3 1 1 1 2 1 2 1 X+2 X X 0 0 1 1 X+1 0 1 X+1 1 X X+1 X 0 1 0 X+1 X+2 3 X+1 2 1 3 X 1 1 X+2 X+1 X+1 X X+1 X+2 X 1 X X+3 X+1 X X+2 1 3 X+2 1 1 X 1 X+3 0 2 1 3 1 0 1 1 2 2 X+2 1 X+2 0 X+1 X 0 2 1 0 3 1 1 2 1 X+1 1 3 0 X+2 2 3 1 0 3 0 1 0 0 0 0 0 X X X+2 2 X+2 0 0 X 2 X+2 0 X 2 X 0 X 2 X+2 0 X+2 X X+2 X+2 2 0 0 X 2 X+2 X 2 X 0 2 X X+2 0 2 X 0 X X 0 X 0 X+2 X+2 X 0 X X 2 X 2 0 2 X+2 X+2 X+2 2 0 0 X 2 0 X+2 2 2 X 2 X X+2 X+2 0 0 0 X X+2 2 2 X X+2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 generates a code of length 85 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+128x^77+327x^78+416x^79+562x^80+624x^81+647x^82+626x^83+676x^84+738x^85+561x^86+556x^87+532x^88+416x^89+297x^90+298x^91+292x^92+188x^93+135x^94+70x^95+30x^96+16x^97+7x^98+12x^99+16x^100+2x^101+9x^102+6x^103+2x^104+1x^106+1x^112 The gray image is a code over GF(2) with n=340, k=13 and d=154. This code was found by Heurico 1.16 in 5.21 seconds.