The generator matrix

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

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+49x^36+50x^37+75x^38+44x^39+14x^40+2x^41+19x^42+2x^54

The gray image is a code over GF(2) with n=152, k=8 and d=72.
This code was found by Heurico 1.16 in 0.0169 seconds.