The generator matrix

 1  0  1  1  1 3X+2  X  1  1 2X+2  1  1 X+2  1 3X  1  1  1 2X  1  2 3X 3X+2  1  1 3X  1 X+2  X  1  1  1  1
 0  1 X+1 X+2 2X+3  1  1 2X+2 X+3  1 3X+2  3  1 3X  1  1 2X X+1  1  2  1  1  1  X  0  1 2X+1  1 X+2  X 2X+3 X+2 2X
 0  0  2  0 2X+2  2 2X+2  0 2X+2  0  2 2X 2X 2X  0 2X+2  2  0  2  2 2X+2 2X 2X+2 2X+2 2X  0 2X 2X  2  2 2X+2  0  2
 0  0  0 2X  0  0 2X  0 2X 2X  0  0 2X 2X  0 2X  0 2X  0 2X 2X 2X  0 2X 2X  0  0  0 2X 2X  0  0 2X
 0  0  0  0 2X  0 2X 2X  0 2X 2X 2X  0 2X 2X 2X  0 2X  0  0  0 2X 2X 2X  0  0  0 2X  0  0  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+140x^29+214x^30+648x^31+598x^32+1018x^33+492x^34+614x^35+196x^36+120x^37+30x^38+12x^39+4x^40+2x^41+6x^43+1x^48

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 68.8 seconds.