The generator matrix

 1  0  1  1  1 3X+2  1  1  2  1  1 3X  1  1  0  1  1 3X+2  1  1  0  1  1 3X+2  X  1  X  X  X  1  1  1  0  1 2X  2  1
 0  1 X+1 3X+2 2X+3  1 X+3  2  1 3X 2X+1  1  0 X+1  1 3X+2 2X+3  1  2 X+1  1 3X+2 2X+3  1  0 3X  2 3X+2 2X+2  0 3X  2  X 2X  1  1 3X+2
 0  0 2X  0  0  0  0 2X 2X 2X 2X 2X  0  0  0  0  0  0 2X 2X 2X 2X 2X 2X  0 2X  0 2X 2X 2X  0  0  0 2X 2X  0  0
 0  0  0 2X  0 2X 2X 2X 2X  0 2X  0 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X  0  0 2X 2X  0 2X 2X  0  0 2X 2X  0 2X
 0  0  0  0 2X  0 2X 2X 2X 2X  0 2X  0 2X  0  0 2X  0 2X  0 2X 2X  0 2X 2X  0 2X  0  0 2X 2X  0 2X  0  0  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+72x^33+238x^34+128x^35+461x^36+248x^37+504x^38+120x^39+176x^40+64x^41+23x^42+8x^43+1x^44+2x^46+1x^48+1x^66

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 0.047 seconds.