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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 X X 1 1 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 2 X 1 X 1 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 2 2 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 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+100x^80+106x^82+56x^83+208x^87+585x^88+584x^90+192x^91+48x^95+54x^96+57x^98+8x^99+27x^104+19x^106+1x^112+1x^114+1x^154 The gray image is a code over GF(2) with n=356, k=11 and d=160. This code was found by Heurico 1.16 in 81.7 seconds.