The generator matrix

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

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+68x^33+474x^34+400x^35+953x^36+520x^37+824x^38+320x^39+341x^40+84x^41+66x^42+16x^43+15x^44+12x^46+2x^48

The gray image is a code over GF(2) with n=296, k=12 and d=132.
This code was found by Heurico 1.16 in 0.125 seconds.