The generator matrix 1 0 1 1 1 X+2 1 1 X 1 1 2 X+2 1 X+2 1 1 1 0 1 1 1 1 2 2 X+2 2 X 0 X+2 0 X+2 1 1 1 1 1 1 1 1 1 1 2 X 1 1 2 X 2 X X 2 1 1 1 1 1 X+2 1 1 X 1 X+2 1 0 1 2 X+2 X 2 0 2 X X+2 1 1 1 1 1 1 1 X X 1 1 1 1 X 1 0 1 1 X+2 X+3 1 2 X+1 1 X 3 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X+2 2 X 0 X+2 0 X+2 X+3 1 1 1 X+3 1 1 1 1 2 1 1 2 X+1 3 0 X+1 1 X+3 X+3 1 3 1 0 1 1 1 1 1 1 1 1 X+2 1 X+2 X+1 X+1 X 2 3 1 0 0 3 X 2 X+1 X X+1 0 0 X 0 X+2 0 X 2 X X+2 0 X+2 2 2 X 2 X X 2 X+2 X+2 2 0 X+2 0 0 X X 0 0 X X 0 0 X X 2 2 X+2 X+2 X X X+2 X+2 X+2 X+2 X X 2 X 2 2 0 2 2 0 X X X 2 X+2 2 0 X 2 0 0 0 0 X+2 X+2 X X+2 X+2 X X X X X X+2 X X+2 X+2 X 2 X 0 X 2 0 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 0 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 2 generates a code of length 89 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+180x^83+110x^84+256x^85+87x^86+298x^87+73x^88+242x^89+39x^90+220x^91+90x^92+132x^93+95x^94+84x^95+9x^96+52x^97+1x^98+40x^99+3x^100+20x^101+2x^102+10x^103+2x^105+1x^116+1x^120 The gray image is a code over GF(2) with n=356, k=11 and d=166. This code was found by Heurico 1.16 in 0.824 seconds.