The generator matrix 1 0 1 1 1 X+2 2 1 1 1 1 X 1 1 0 0 1 1 1 X+2 1 1 X 1 1 0 1 1 2 1 1 1 X+2 0 1 1 1 1 X X 1 1 2 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 X+2 1 X+2 1 1 1 1 2 X+2 1 1 1 2 1 X+2 2 1 1 1 1 2 1 1 X 1 1 2 0 1 1 0 0 1 1 0 1 1 1 2 X+1 3 X 1 X+2 X+3 1 1 X 1 1 1 0 X+1 1 X+2 X+1 1 2 X+3 1 X X X+1 1 1 3 X+1 X 0 1 1 X+3 X 1 3 X+2 0 X+3 1 2 1 0 3 1 1 X+3 X+1 X X 1 X 1 X+1 X+1 1 2 1 1 X+1 X+1 0 1 2 1 1 X 1 X+2 0 1 X+1 0 X 0 1 1 X 1 X+2 X 0 0 X 0 0 0 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 X X X X+2 X X+2 X+2 X+2 X+2 X X X X X X+2 2 X+2 X+2 X+2 X+2 X 0 2 X+2 X+2 X+2 0 X X+2 0 X+2 X 2 0 X X 2 2 X X X+2 X+2 0 2 X+2 X 0 2 2 X+2 X 2 2 2 2 0 X+2 X+2 2 2 X X 0 0 0 X 0 0 0 2 2 2 0 2 0 2 X+2 X X X+2 X+2 X+2 X X+2 X X X+2 X+2 0 X+2 X X+2 2 2 0 X X X+2 X 0 X+2 X 2 X+2 0 0 X 0 X+2 0 X+2 0 X 0 X+2 X+2 2 2 0 2 X 2 2 2 0 2 X X+2 0 X 0 0 X+2 X X 0 2 2 0 2 X X+2 0 X+2 2 X X+2 X+2 0 X+2 X+2 0 0 0 0 X 0 X+2 X+2 2 0 X X+2 2 X+2 X 0 X+2 0 X+2 2 X+2 X+2 X 2 2 2 X+2 X X+2 X+2 2 X X 0 0 0 2 X X 2 X 2 0 2 2 X X+2 2 X X 0 X+2 2 X+2 X+2 2 2 X+2 2 X X+2 0 X X 2 X+2 2 0 X 0 0 2 X X+2 X 2 0 X+2 2 X+2 0 X X 2 2 0 X+2 X 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 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+141x^80+48x^81+538x^82+188x^83+770x^84+236x^85+764x^86+364x^87+973x^88+388x^89+906x^90+360x^91+819x^92+232x^93+620x^94+172x^95+297x^96+52x^97+128x^98+4x^99+61x^100+4x^101+64x^102+33x^104+16x^106+6x^108+4x^110+2x^112+1x^120 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 6.84 seconds.