The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 2 X+2 X 2 2 1 1 1 1 1 X+2 2 1 1 X 1 1 X+2 1 2 0 1 X+2 1 2 1 1 0 X 1 0 1 1 1 X+2 1 1 X+2 0 1 0 1 X+2 1 1 1 1 1 1 1 1 1 1 1 X X X X X 1 X 1 X+2 1 1 2 0 0 1 X X 1 1 1 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X+2 1 1 X+1 X+2 2 3 3 1 X+2 X+2 X 1 X+3 2 X X+3 1 2 X 1 X+1 1 0 0 1 1 X+3 X+2 2 2 1 1 X+2 2 X+2 1 1 X X+3 1 3 2 1 0 X+3 3 1 1 2 X X 1 1 1 1 X+2 X 1 0 1 1 0 1 1 1 0 X 1 X+3 X X X X+2 0 0 0 1 1 X+3 X+2 1 X+1 X+2 1 1 0 1 0 1 X+1 X X+3 0 X+3 X 0 X+1 1 3 X X 1 X+3 1 1 X+2 1 0 1 2 3 3 2 0 X+1 X 1 1 0 2 2 X+2 X+3 1 X+2 X 1 X+1 2 X+2 2 2 X+2 1 X+3 3 1 3 X X 2 3 X+3 X+2 1 X+1 X+1 X+2 X 0 3 0 X+1 0 3 1 2 0 X+1 1 2 X+1 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+40x^80+132x^81+313x^82+420x^83+561x^84+590x^85+603x^86+730x^87+637x^88+676x^89+609x^90+556x^91+483x^92+398x^93+428x^94+262x^95+212x^96+202x^97+125x^98+70x^99+37x^100+40x^101+33x^102+8x^103+5x^104+6x^105+1x^106+2x^107+7x^108+4x^109+1x^112 The gray image is a code over GF(2) with n=356, k=13 and d=160. This code was found by Heurico 1.16 in 5.52 seconds.