The generator matrix 1 0 1 1 1 3X+2 1 1 X 1 1 X+2 1 1 2X+2 1 1 2X 1 1 1 2 1 3X 1 1 1 1 X+2 1 2 1 2 0 1 X+1 X+2 3 1 3X+2 X+3 1 X X+1 1 2X+2 2X+1 1 2X 2X+3 1 3X 2 3X+3 1 1 1 0 0 3X+2 3X+2 1 1 0 2X+1 1 0 0 2 0 2X 2X+2 2X+2 2X+2 2 2 2X 0 0 2X 0 2 2X+2 2 2X 2 0 2 2X+2 2X 0 2X 2X+2 0 0 2 2X+2 2X+2 2X 0 0 0 2X 2X 2X 0 2X 0 2X 0 2X 2X 0 2X 0 0 0 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 0 0 generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+240x^30+232x^31+433x^32+328x^33+368x^34+184x^35+198x^36+24x^37+32x^38+6x^40+2x^44 The gray image is a code over GF(2) with n=264, k=11 and d=120. This code was found by Heurico 1.16 in 0.297 seconds.