The generator matrix

 1  0  0  1  1  1 X+2  1  1  0  X  1  1  X  1  2  1  0  2  X  1 X+2  1  1  1  X  1  1  1  2  1  1 X+2 X+2  1  2 X+2  X
 0  1  0  0  1 X+1  1 X+2  3  1  X  3 X+2  1 X+2  1 X+3  1  2  1 X+3  1  2  2 X+1  1 X+1  1  X  1  2  1  1  1 X+2  1  1  2
 0  0  1  1  1  0  1  3  1  1  1  0  2  X  X  X X+1  X  1  1  0 X+1 X+3  1  0 X+2 X+3 X+2  2 X+3 X+1 X+3 X+2 X+1  2  3  2 X+2
 0  0  0  X  0  0  2  2 X+2  X  X X+2  X X+2  0  2  0  X  X  2  2  X X+2  2 X+2 X+2  X X+2  X X+2  2 X+2  0 X+2  2  X  0  0
 0  0  0  0  X  2  X X+2  2  2 X+2  X  X X+2  2  0  X X+2 X+2  2  X  X X+2  2  2  2  X X+2  2 X+2 X+2  2  X  0  0  X X+2  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+400x^32+990x^34+1792x^36+1876x^38+1854x^40+840x^42+344x^44+60x^46+25x^48+10x^50

The gray image is a code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.16 in 1.97 seconds.