The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+122x^32+92x^33+378x^34+244x^35+572x^36+456x^37+538x^38+408x^39+481x^40+220x^41+282x^42+116x^43+111x^44+46x^46+24x^48+4x^50+1x^52

The gray image is a code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.448 seconds.