The generator matrix

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

generates a code of length 37 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+90x^33+198x^34+208x^35+449x^36+200x^37+442x^38+180x^39+175x^40+74x^41+6x^42+8x^43+5x^44+4x^45+2x^46+4x^47+1x^48+1x^56

The gray image is a code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.078 seconds.