The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+49x^36+122x^37+85x^38+88x^39+44x^40+38x^41+21x^42+36x^43+9x^44+4x^45+14x^46+1x^60

The gray image is a code over GF(2) with n=156, k=9 and d=72.
This code was found by Heurico 1.13 in 0.016 seconds.