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 2 0 2 0 2 0 2 2X 2X+2 2X 2X+2 2X 2X+2 2X 2X+2 2 2 2 2 0 2X 0 2X 0 2X 2X+2 2X+2 2X+2 2X+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+2X+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.