The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+596x^33+2026x^34+5214x^35+8659x^36+16200x^37+19927x^38+25120x^39+20650x^40+16860x^41+8540x^42+4680x^43+1749x^44+640x^45+129x^46+56x^47+11x^48+8x^49+2x^51+2x^52+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 147 seconds.