The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  2  1  1  1  1 X^2+2  X  0 X^2+2  1  1  2  1  1  1
 0  X  0  X  0  2 X^2+X  X X^2 X^2+X X^2 X^2+X+2 X^2 X^2+2 X+2 X^2+2 X^2+X X+2 X^2  2 X^2+X X^2 X^2+X+2  2  X  X  X  X X+2  X X^2+X+2 X^2  0
 0  0  X  X X^2+2 X^2+X+2 X^2+X X^2 X^2+2  2  0 X^2+2  X X^2+X X+2 X+2  0 X^2+X  X  X X^2+X+2 X+2  2  X X^2 X^2+X  0  0  2  X  X  X  0
 0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  0  2  2  0  0  0  2  2  2  0  2  0  2  0  0  0  2  2  2  0  2  0  0  2  2  0  2  2  0  0

generates a code of length 33 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+56x^28+180x^29+277x^30+426x^31+849x^32+634x^33+808x^34+370x^35+220x^36+140x^37+79x^38+34x^39+6x^40+6x^41+3x^42+2x^43+4x^44+1x^50

The gray image is a code over GF(2) with n=264, k=12 and d=112.
This code was found by Heurico 1.16 in 0.156 seconds.