The generator matrix

 1  0  0  0  1  1  1  1  2  1  X  1  1  2 X+2  2  1  1 X^2 X^2+X  1 X+2  1  1  1 X+2  1 X^2+X+2  1  1  1  1 X^2+X  1  0  1  1  1  1
 0  1  0  0  0  2 X^2+1 X+3  1 X^2+1  1 X+1 X^2+X X^2+X  1 X^2 X+3  0  1  1  1 X^2+X X^2+X+2 X^2+2 X^2+X+1  1  1 X^2+2  X X^2+X+1  X  2 X+2 X^2  1  3 X+1 X+2 X+3
 0  0  1  0  1 X^2+X+2 X^2  X X^2+X X^2+1 X^2+1 X^2+X+3 X+3  1  3  1 X^2+X  3 X^2 X^2+X X+2  1  0 X+3 X^2+X+3 X+1  1 X^2+X X^2+X+2 X^2+3 X^2+X+3 X^2+X+1  1 X^2+X  1 X^2+X+2 X^2+X+2 X^2+1 X+2
 0  0  0  1  1 X+1 X^2+X+1  2  1  0  1  3 X+2 X^2+X+3 X+2 X+2 X^2+X+2 X+1 X^2+X X^2+X+3 X^2+X+3  3 X^2+X+3 X+2 X^2+X+2 X^2+1 X^2+3  1 X^2+X+3  1 X^2+2 X^2+X+3 X^2 X^2+X X^2+X+1 X^2+2 X^2+3 X^2+X+3 X+1
 0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  0  0  2  2  2  0  0  2  2  0  2  2  2  2

generates a code of length 39 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+572x^33+1939x^34+4864x^35+9934x^36+15070x^37+21162x^38+23176x^39+22116x^40+15832x^41+9482x^42+4384x^43+1698x^44+552x^45+212x^46+56x^47+11x^48+4x^49+3x^50+2x^53+2x^54

The gray image is a code over GF(2) with n=312, k=17 and d=132.
This code was found by Heurico 1.16 in 72.3 seconds.