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  1  X  1  1  1  1  1  X  1
 0  X  0  X  0  2  X X+2  0  2  X X+2  0  0 X+2 X+2  0  2 X+2  0 X+2 X+2  2 X+2  2  2 X+2  X  2  X  X  0 X+2  2  0  X X+2 X+2
 0  0  X  X  0  X X+2  2  0  X  X  0  0 X+2  X  2  2  2  0 X+2  X  2 X+2 X+2  0 X+2  X  0  2  X X+2  2  0  X X+2  2  2  0
 0  0  0  2  0  0  2  0  2  2  0  2  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  0  2  0  2  0  2  0  0  2  0  2
 0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  0  0  0  0  2  0  2  2  2  2  0  2  2  0  2  0  2  0  0  0  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+55x^34+71x^36+64x^37+147x^38+64x^39+54x^40+37x^42+17x^44+1x^46+1x^72

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 0.0324 seconds.