The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+160x^29+675x^30+1390x^31+2762x^32+4902x^33+7283x^34+10092x^35+13290x^36+16070x^37+17015x^38+16388x^39+14073x^40+10418x^41+7291x^42+4592x^43+2495x^44+1186x^45+554x^46+302x^47+80x^48+32x^49+14x^50+4x^51+3x^52

The gray image is a code over GF(2) with n=152, k=17 and d=58.
This code was found by Heurico 1.13 in 108 seconds.