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

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+32x^33+36x^34+28x^35+94x^36+652x^37+92x^38+28x^39+24x^40+20x^41+8x^42+8x^43+1x^72

The gray image is a code over GF(2) with n=296, k=10 and d=132.
This code was found by Heurico 1.16 in 0.046 seconds.