The generator matrix

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

generates a code of length 36 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+368x^30+1760x^31+4562x^32+8652x^33+15741x^34+21616x^35+25594x^36+21808x^37+15716x^38+8856x^39+4307x^40+1476x^41+477x^42+88x^43+28x^44+18x^46+4x^48

The gray image is a code over GF(2) with n=288, k=17 and d=120.
This code was found by Heurico 1.16 in 73.1 seconds.