The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0 X+2  1  1  1  1  0  1  1  0 X+2 X+2  1  1  1  1  1  1  0  1  1  X X+2  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0 X+1  1  1 X+2  3  3 X+2  1 X+1  0  1  1  1  0  3  3 X+2 X+1  0  1  0  3  2  1 X+2
 0  0  2  0  0  0  0  0  0  0  0  2  0  2  0  2  2  2  2  2  2  0  0  2  0  0  0  0  2  2  2  2  0  0  0  2  0  2
 0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  2  2  2  2  2  0  2  2  2  2  0  2  2  0  0
 0  0  0  0  2  0  0  0  0  2  2  0  0  2  2  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2
 0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  2  0  0  2  2  0  0  2
 0  0  0  0  0  0  2  0  2  0  0  2  2  0  2  0  2  0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  2  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  2  0  0  2  2  0  2  2  2  0  0  2  0  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+271x^32+284x^34+1059x^36+908x^38+1007x^40+340x^42+186x^44+4x^46+30x^48+3x^52+3x^56

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 72.7 seconds.