The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+180x^32+330x^33+449x^34+512x^35+490x^36+344x^37+473x^38+434x^39+373x^40+178x^41+151x^42+108x^43+52x^44+12x^45+7x^46+2x^47

The gray image is a code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.11 in 0.157 seconds.