The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+216x^33+278x^34+466x^35+462x^36+546x^37+411x^38+456x^39+341x^40+374x^41+220x^42+162x^43+60x^44+62x^45+19x^46+20x^47+2x^49

The gray image is a code over GF(2) with n=152, k=12 and d=66.
This code was found by Heurico 1.11 in 0.164 seconds.