The generator matrix

 1  0  0  0  1  1  1  1 2X  1  1 3X+2  1  0 3X  2  X  1  1  1 3X+2  1  1  1  1 X+2  0 2X  1  1  1  X  1
 0  1  0  0  0 2X  3 3X+1  1  3 X+1  1 3X+2 X+2  1  1 2X+2 X+1 X+3 2X 2X+2  X  X X+2 X+2  1  1 2X+2 2X 3X+2  3 3X+2 X+2
 0  0  1  0  1 3X+2  2 3X 3X+2  3 3X+3  3 3X+1  1 3X+3 3X 2X 2X+1  X 3X+2  1 3X+2 3X+1 3X  3 3X+3 3X+1  1 2X+2 3X+3  X  1 2X+2
 0  0  0  1  1 X+1 X+3 2X  1  0 2X+1 2X+1  X X+3  X 3X+3  1 X+2 X+1  3  3  X  2 2X+3 2X+1 2X+1 X+2 3X+1 2X+1  X  2  2 X+3
 0  0  0  0 2X  0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X  0 2X 2X  0 2X  0 2X  0  0  0 2X  0  0 2X 2X  0

generates a code of length 33 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+234x^27+1482x^28+3788x^29+8743x^30+15328x^31+22886x^32+25612x^33+23736x^34+15452x^35+8612x^36+3388x^37+1271x^38+440x^39+71x^40+12x^41+10x^42+2x^43+4x^44

The gray image is a code over GF(2) with n=264, k=17 and d=108.
This code was found by Heurico 1.16 in 61.3 seconds.