The generator matrix

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

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+83x^34+162x^35+123x^36+126x^37+117x^38+84x^39+102x^40+106x^41+69x^42+22x^43+8x^44+6x^45+3x^46+4x^47+5x^48+2x^49+1x^52

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 0.0505 seconds.