The generator matrix

 1  0  1  1  1  0  1  1  0  1  2  1  1 X+2  1  1  1  1  X  1  2  1  2  1  X  2  1  1  1  X  1  1  1  0  X  1  1  1
 0  1  1  0 X+1  1 X+3  0  1  3  1  X X+1  1 X+2 X+2 X+3  2  1  1  1  3  1 X+2  0  X X+1  1  2  2  3  0  1  1  2 X+3 X+1  2
 0  0  X  0  0  0  0  X  X X+2 X+2  2  X X+2  X  0  X X+2 X+2  0  2  2 X+2  2  X  X  X  2  2  X  2  X  X  2  X  2  2  0
 0  0  0  X  0 X+2 X+2  X  X  X  2 X+2  X X+2  X  2  0  0  2 X+2 X+2  2  0  2 X+2  2 X+2  0 X+2  0  0  2  0  2  2 X+2  X X+2
 0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  2  0  0  2  0  2  0  0  2  2
 0  0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  0  0  0  0  0  2  2  2  0  2  2  0
 0  0  0  0  0  0  2  0  2  0  0  0  0  2  0  2  2  2  2  2  2  2  0  0  2  2  2  0  0  2  0  0  0  0  0  0  0  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2  2  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+38x^29+135x^30+238x^31+289x^32+744x^33+712x^34+1574x^35+1145x^36+2418x^37+1529x^38+2658x^39+1247x^40+1686x^41+710x^42+594x^43+236x^44+224x^45+103x^46+56x^47+22x^48+10x^49+10x^50+3x^52+1x^54+1x^56

The gray image is a code over GF(2) with n=152, k=14 and d=58.
This code was found by Heurico 1.16 in 6.67 seconds.