The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+260x^30+734x^31+1628x^32+2308x^33+3911x^34+4808x^35+6951x^36+7502x^37+9048x^38+7456x^39+7440x^40+4994x^41+3910x^42+2256x^43+1280x^44+546x^45+332x^46+106x^47+43x^48+10x^49+11x^50+1x^52

The gray image is a code over GF(2) with n=152, k=16 and d=60.
This code was found by Heurico 1.13 in 30.1 seconds.