The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+38x^33+36x^34+56x^35+94x^36+76x^37+88x^38+52x^39+31x^40+26x^41+4x^42+4x^43+1x^44+4x^45+1x^68

The gray image is a code over GF(2) with n=148, k=9 and d=66.
This code was found by Heurico 1.16 in 0.0488 seconds.