The generator matrix

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

generates a code of length 41 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+252x^39+229x^40+236x^41+109x^42+64x^43+41x^44+76x^45+2x^46+12x^47+1x^52+1x^58

The gray image is a code over GF(2) with n=328, k=10 and d=156.
This code was found by Heurico 1.16 in 50 seconds.