The generator matrix

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

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+112x^32+56x^33+434x^34+184x^35+667x^36+272x^37+728x^38+272x^39+640x^40+184x^41+332x^42+56x^43+88x^44+40x^46+23x^48+2x^50+5x^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 0.44 seconds.