The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^33+413x^34+394x^35+509x^36+424x^37+456x^38+438x^39+389x^40+314x^41+285x^42+140x^43+99x^44+40x^45+22x^46+2x^47+2x^48+2x^49+2x^51

The gray image is a code over GF(2) with n=152, k=12 and d=66.
This code was found by Heurico 1.16 in 0.334 seconds.