The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  1 X+2  1  X  1  1 X+2  2  1  1  1 X+2  X  1  0  2  1 X+2  0  1  1  X X+2  X  1  X  1
 0  1  0  0  3  3  1 X+2  2  1  1  X  1 X+1  1 X+2 X+3 X+2  1  1 X+2  3  1  1  0 X+2  2 X+2  1  1 X+1  X  1  2  2  0  1  2
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  1  0  2 X+2  0  X  1 X+1  1 X+3  X X+3  0  3  1  1  X X+2  2 X+3  X  1  1  1  0  X  2
 0  0  0  2  2  0  2  2  2  0  0  0  2  2  2  0  0  0  0  2  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  2  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+35x^34+170x^35+155x^36+172x^37+127x^38+98x^39+67x^40+82x^41+22x^42+20x^43+33x^44+34x^45+7x^46+1x^50

The gray image is a code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 0.0392 seconds.