The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  1  1  2  1  X  X  1  1 X+2 X+2  1  1  1  1  1  2  1 X+2 X+2  X  1  X  1  0  1  0  1
 0  1  0  0  1  1  1  X  2  3  1  X X+1  1  0  X  1 X+1  1  2  1 X+2 X+3  2  3 X+3  1  X  1  1 X+2 X+2  0  2  1  3  0  0
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3 X+1  1  1  2 X+3  1 X+1  2 X+2  0 X+2  3  0  X  2 X+2  1  3  1  X  X  2  1  X
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  2  2  0  0  0  2  2  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+28x^34+174x^35+158x^36+190x^37+85x^38+140x^39+48x^40+84x^41+22x^42+22x^43+34x^44+30x^45+1x^46+7x^48

The gray image is a code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.11 in 0.0254 seconds.