The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1 X+2  0  X  1  0 X+2  1  0  1  1  1  1 X+2  1  1  1  X  X  1  1  2  1  1  1  2  X
 0  1  0  0  0  1  2  3  1  2 X+1 X+3  1  X  1  X  1  1  1 X+2  X  0  3  2 X+2  2 X+1  1  0  1 X+1 X+2  1 X+2  1  X  1  1
 0  0  1  0  0  1  3  2  3 X+1  1  0  3  1 X+2  0  X  1 X+1  2 X+2  3  X  1  1  X  X X+3  1  0  X X+3 X+3 X+2  X  3  2  X
 0  0  0  1 X+1  2 X+3 X+1 X+1  X  1  2 X+2  1  1  2  X X+1  2  1  0  0  1  3 X+2 X+3  3 X+3 X+1  X X+1  1 X+2 X+3  0 X+3 X+3 X+3
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  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+126x^32+396x^33+628x^34+780x^35+854x^36+912x^37+988x^38+904x^39+772x^40+668x^41+512x^42+364x^43+162x^44+72x^45+44x^46+5x^48+4x^50

The gray image is a code over GF(2) with n=152, k=13 and d=64.
This code was found by Heurico 1.13 in 0.598 seconds.