The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  2  1  1  1  X  1  1  1  1 3X+2 X+2  2  1  1 X+2 2X  X  1 2X+2  X  X  X 3X  1
 0  1 X+1 X+2 2X+3  1 3X+1  0  1 2X+1 X+2  1  2  1 X+1 3X+2  3  1 2X+2  3  0  1  1  1  1 X+2 X+1  1  1  X  3  1  1 2X  X  1 2X+2
 0  0 2X+2  0  0 2X  0 2X+2  2  2 2X+2  2  2 2X  2  0  0 2X 2X+2  2 2X 2X  2 2X+2  2  2 2X  0 2X+2  2  2  2 2X+2 2X+2  2 2X+2 2X+2
 0  0  0  2 2X 2X+2 2X+2  2  2 2X+2 2X 2X  2  0 2X+2  0 2X+2  2 2X  0  2 2X 2X+2 2X  2 2X+2  0 2X 2X  2  2  0 2X+2  0  0  2  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+170x^33+330x^34+518x^35+706x^36+744x^37+705x^38+422x^39+281x^40+154x^41+14x^42+34x^43+4x^45+5x^46+2x^47+4x^48+2x^50

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 0.438 seconds.