The generator matrix

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

generates a code of length 37 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+189x^30+1172x^31+3826x^32+8548x^33+17185x^34+31536x^35+42442x^36+50726x^37+44182x^38+32446x^39+16987x^40+8018x^41+3313x^42+1092x^43+356x^44+82x^45+27x^46+10x^47+4x^48+2x^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 281 seconds.