The generator matrix

 1  0  0  1  1  1  2  0 2X  2  1  1  1  1 3X+2  1 X+2  1 3X  1  1  1  1  1 X+2  0  1  1  1 3X  1  1  1 X+2 3X+2 3X  1
 0  1  0  0 2X+3 2X+3  1 X+2  1  1 2X  3 2X+2 3X+3  X 3X+3  1  X  1 3X+2 3X+1 X+1 2X+2 2X+1  1 3X  1  3 2X+2  X 3X  X X+1  1  1  1  2
 0  0  1 X+1 X+3  2 X+3  1 3X+2  1 3X+2 2X+1 2X+3  0  1 3X X+2 2X+3  3 2X 2X+1 3X+1 X+1 3X  3  1  1 2X 2X+3  1 X+3 3X+1 X+1 3X+3 X+1  X 3X+2
 0  0  0 2X 2X  0 2X 2X 2X  0 2X  0  0 2X 2X  0 2X 2X 2X  0  0 2X  0  0  0  0 2X 2X 2X  0  0 2X  0  0 2X  0  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+174x^33+850x^34+1156x^35+1223x^36+1570x^37+1400x^38+822x^39+540x^40+252x^41+126x^42+54x^43+11x^44+4x^45+8x^46+1x^48

The gray image is a code over GF(2) with n=296, k=13 and d=132.
This code was found by Heurico 1.16 in 0.328 seconds.