The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+204x^30+1140x^31+3687x^32+8600x^33+17942x^34+29298x^35+45770x^36+47998x^37+46446x^38+30372x^39+17886x^40+7784x^41+3426x^42+1130x^43+302x^44+126x^45+14x^46+12x^47+2x^48+4x^49

The gray image is a code over GF(2) with n=296, k=18 and d=120.
This code was found by Heurico 1.16 in 283 seconds.