The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+72x^35+122x^36+48x^37+32x^38+96x^39+93x^40+16x^41+24x^43+2x^44+1x^48+4x^52+1x^56

The gray image is a code over GF(2) with n=152, k=9 and d=70.
This code was found by Heurico 1.16 in 0.0347 seconds.