The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  X  1  1  1  0 X+2  1  1  X  1  1  2  2  1  1  1  X  2  0  1  1  1  1 X+2
 0  1  1 X+2 X+3  1  0 X+1  1  3  X  1  2  1  1 X+3  X  0  1  1  3 X+2  1 X+3 X+3  1  1  1 X+3  X  1  X  1 X+3  0  3  X  1
 0  0  X  0 X+2  0 X+2  2  X  2 X+2  X  X  X  X  X X+2  2  0  2  2  0  X  2 X+2  X  0  X  X X+2  X  X  2  X  X  0 X+2  0
 0  0  0  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  2  0  0  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  2  0  2  2  0  0  0  0  2  2  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  2  2  0  0  0  2  2  2  0  0  0  0  2  2  2  0  2  2  2  2  2  0  0  2  0  2  2  2  0
 0  0  0  0  0  0  2  0  2  0  2  0  2  0  0  2  2  0  0  2  2  2  2  2  2  0  2  0  2  2  2  0  0  0  0  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+150x^32+84x^33+308x^34+296x^35+568x^36+380x^37+580x^38+400x^39+512x^40+300x^41+288x^42+72x^43+90x^44+4x^45+36x^46+17x^48+4x^50+6x^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 0.456 seconds.