The generator matrix

 1  0  1  1  1  0  1 X+2  1  1  1 X+2  1  1  1  2  0  1  1  1  X  1  1  X  1  X X+2  1  1  1  2  1  1  1  1 X+2  1  1
 0  1  1  0 X+3  1  X  1 X+3  1  2  1  X X+1  0  1  1 X+1  3 X+3  1 X+2 X+3  1 X+2  1  1  2  3  0  1  3  X  X  0  1 X+2 X+1
 0  0  X  0 X+2  X  0  X  0  2  X  0 X+2  0 X+2  2 X+2 X+2 X+2  2  2  0  X  2  X  X X+2  0  0  X  2  0  2  2  X  X  0  2
 0  0  0  X  0  X  X  X X+2 X+2  2  2  2  0  X X+2  0  X X+2  0  X  2  2  2 X+2  2  0  0 X+2  X  X  0  0  X X+2 X+2 X+2  X
 0  0  0  0  2  2  2  0  2  0  2  2  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  2  0  0  0  2  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+98x^33+93x^34+342x^35+118x^36+346x^37+113x^38+346x^39+94x^40+306x^41+71x^42+70x^43+8x^44+14x^45+11x^46+6x^47+1x^48+4x^49+4x^51+2x^52

The gray image is a code over GF(2) with n=152, k=11 and d=66.
This code was found by Heurico 1.16 in 0.134 seconds.