The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1  1  1  1  1  X  1  1  X
 0 2X  0  0  0  0  0 2X  0  0  0 2X 2X  0 2X 2X  0 2X 2X  0  0  0  0 2X  0  0 2X 2X  0 2X 2X  0 2X
 0  0 2X  0  0  0  0 2X  0  0 2X 2X  0 2X 2X  0 2X 2X  0  0  0  0 2X 2X  0 2X 2X  0 2X  0 2X 2X 2X
 0  0  0 2X  0  0  0 2X  0 2X 2X  0  0 2X  0 2X  0 2X 2X  0  0 2X 2X  0 2X 2X 2X 2X  0 2X 2X 2X 2X
 0  0  0  0 2X  0  0 2X  0 2X  0  0 2X 2X 2X  0 2X  0 2X 2X 2X 2X  0  0 2X  0  0 2X  0  0 2X 2X 2X
 0  0  0  0  0 2X  0 2X 2X  0  0  0 2X 2X  0 2X 2X 2X  0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X  0  0
 0  0  0  0  0  0 2X 2X 2X  0 2X  0  0  0 2X 2X 2X  0 2X  0 2X 2X 2X 2X  0  0  0  0  0 2X  0  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+40x^28+24x^30+85x^32+768x^33+32x^34+44x^36+8x^38+17x^40+4x^44+1x^56

The gray image is a code over GF(2) with n=264, k=10 and d=112.
This code was found by Heurico 1.16 in 0.031 seconds.