The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+262x^36+64x^38+140x^40+42x^44+3x^48

The gray image is a code over GF(2) with n=152, k=9 and d=72.
This code was found by Heurico 1.16 in 49 seconds.