The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^29+721x^30+1116x^31+1430x^32+1552x^33+1398x^34+912x^35+591x^36+196x^37+65x^38+20x^39+17x^40+16x^41+1x^44

The gray image is a code over GF(2) with n=264, k=13 and d=116.
This code was found by Heurico 1.16 in 0.296 seconds.