The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  X  1  1  1  1 2X+2  1  1  1  1  1  X  1  1
 0  2  0  0  0 2X+2  2 2X+2  0 2X  2  2  0 2X  2  0  2  2  2 2X 2X+2 2X  0 2X+2 2X+2  2 2X+2  2  2 2X+2 2X  2  0
 0  0  2  0 2X+2 2X+2 2X+2 2X  0 2X 2X+2  2 2X+2 2X+2 2X 2X+2 2X 2X+2  2  2 2X+2  2 2X+2  2  0  2  2  2 2X  2  0  2 2X
 0  0  0  2 2X+2 2X  2  2  0  2 2X  2 2X+2  0  2  2  0 2X+2 2X+2 2X+2  0  2  0 2X+2  2 2X  0  2 2X+2 2X 2X+2 2X+2 2X+2
 0  0  0  0 2X 2X 2X 2X 2X 2X  0  0  0 2X  0 2X 2X  0  0  0  0  0  0  0 2X 2X  0 2X 2X  0 2X  0 2X

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+37x^28+68x^29+84x^30+136x^31+406x^32+644x^33+395x^34+122x^35+50x^36+28x^37+29x^38+12x^39+15x^40+12x^41+3x^42+2x^43+3x^44+1x^54

The gray image is a code over GF(2) with n=264, k=11 and d=112.
This code was found by Heurico 1.16 in 0.078 seconds.