The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  0  1  1  0  1 X+2  1  X  1  1  1  1  1  1  1  1  1  1  2  2  2  X X+2  0
 0  1 X+1 X+2  3  1  0 X+1  1 X+2  3  1  0 X+1  1 X+2 X+1  1  3  1  1  1  2  X X+3  1 X+3  1 X+3  3 X+3  1  1  1  1  1  1  1
 0  0  2  0  2  0  2  0  2  2  0  2  0  0  0  2  2  2  0  0  2  2  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  0
 0  0  0  2  2  2  2  0  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  0  0  2  2  0  2  0  0  2  0  2  2  0  0  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+62x^36+128x^38+62x^40+1x^44+1x^48+1x^60

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 0.0173 seconds.