The generator matrix

 1  0  0  1  1  1  2 X^2  0  1  1  1  X  1  1 X^2+X+2  1 X+2  1 X^2  1 X^2+X+2  1  1 X^2+X+2 X+2 X+2  1  0  1 X^2+2  1 X^2+X  1  1  1  1
 0  1  0  0 X^2+3 X^2+3  1  X  1 X^2+2  1 X^2+X+2  1 X+3  X X+2 X+1  1 X^2+1  1 X+2  1 X^2+X+3  3  1 X^2  1  2 X^2+2 X+1  1 X^2+X+2  1  0  3  2  0
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1 X^2+X X^2+X  X  1  3 X^2+X+1 X+1  1 X^2+X+2 X+1 X^2+3 X^2 X^2+2 X+2  3 X^2+X  2  1 X^2+X+1 X^2+2  1  0 X^2+1 X^2+2 X^2+3 X^2+X+2 X^2+3 X^2+X+2  0
 0  0  0  2  2  0  2  2  2  2  2  0  0  0  2  0  2  0  2  2  0  0  2  0  2  2  2  2  2  2  2  2  2  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+244x^33+816x^34+1022x^35+1231x^36+1792x^37+1177x^38+864x^39+633x^40+264x^41+74x^42+34x^43+29x^44+4x^45+5x^46+2x^48

The gray image is a code over GF(2) with n=296, k=13 and d=132.
This code was found by Heurico 1.16 in 0.328 seconds.