The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+12x^33+15x^34+79x^36+296x^37+79x^38+15x^40+12x^41+1x^42+1x^44+1x^62

The gray image is a code over GF(2) with n=296, k=9 and d=132.
This code was found by Heurico 1.16 in 38 seconds.