The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+47x^34+16x^35+67x^36+48x^37+182x^38+48x^39+38x^40+16x^41+24x^42+20x^44+2x^46+1x^48+1x^50+1x^68

The gray image is a code over GF(2) with n=152, k=9 and d=68.
This code was found by Heurico 1.16 in 7.34 seconds.