The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^33+52x^34+366x^35+347x^36+406x^37+319x^38+246x^39+34x^40+110x^41+7x^42+26x^43+1x^44+10x^45+5x^46+2x^47+1x^50+1x^56

The gray image is a code over GF(2) with n=296, k=11 and d=132.
This code was found by Heurico 1.16 in 0.172 seconds.