The generator matrix

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

generates a code of length 33 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+108x^29+331x^30+634x^31+659x^32+722x^33+608x^34+600x^35+281x^36+94x^37+31x^38+14x^39+2x^40+2x^41+6x^42+1x^44+2x^45

The gray image is a code over GF(2) with n=264, k=12 and d=116.
This code was found by Heurico 1.16 in 0.109 seconds.