The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+33x^32+144x^33+407x^34+344x^35+514x^36+460x^37+424x^38+382x^39+573x^40+298x^41+224x^42+124x^43+105x^44+24x^45+12x^46+14x^47+5x^48+2x^49+5x^50+1x^52

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.371 seconds.