The generator matrix

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

generates a code of length 38 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+50x^33+100x^34+162x^35+100x^36+564x^37+144x^38+564x^39+78x^40+148x^41+57x^42+36x^43+12x^44+4x^45+16x^46+4x^47+1x^48+2x^49+2x^50+2x^51+1x^58

The gray image is a code over GF(2) with n=304, k=11 and d=132.
This code was found by Heurico 1.16 in 39 seconds.