The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  X  X  X  X  X  X  2  0  2  0  2 2X  2 2X  1
 0 2X+2  0 2X+2 2X  2 2X  2  0 2X+2  0 2X+2 2X+2 2X+2 2X 2X  2  2  0 2X  2  2  0 2X 2X+2  2 2X+2  2  2  2  2  2  0
 0  0 2X 2X 2X 2X  0  0  0  0 2X 2X  0 2X 2X  0 2X  0 2X 2X 2X  0  0  0  0 2X 2X  0 2X  0  0 2X  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+6x^32+110x^33+7x^34+1x^40+2x^41+1x^42

The gray image is a code over GF(2) with n=264, k=7 and d=128.
This code was found by Heurico 1.16 in 0.016 seconds.