The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X X X X X X X X X 1 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 2X 2 2X 2 2X 2 2X+2 2X+2 2X+2 2X+2 0 2X 0 2X 0 2X 2 2 2 2 0 2X 0 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 0 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 2X 2X 0 0 0 0 generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+15x^32+222x^33+16x^34+2x^49 The gray image is a code over GF(2) with n=264, k=8 and d=128. This code was found by Heurico 1.16 in 0.031 seconds.