The generator matrix

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

generates a code of length 45 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+116x^38+986x^39+2671x^40+5758x^41+9051x^42+16254x^43+18765x^44+23436x^45+19288x^46+16724x^47+8885x^48+5546x^49+2289x^50+824x^51+329x^52+88x^53+36x^54+10x^55+5x^56+4x^57+2x^58+2x^59+2x^62

The gray image is a code over GF(2) with n=360, k=17 and d=152.
This code was found by Heurico 1.16 in 87.2 seconds.