The generator matrix

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

generates a code of length 31 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+68x^24+630x^25+2392x^26+6726x^27+15964x^28+30970x^29+46368x^30+55222x^31+47073x^32+31570x^33+15826x^34+6258x^35+2168x^36+662x^37+180x^38+50x^39+6x^40+8x^41+2x^42

The gray image is a code over GF(2) with n=248, k=18 and d=96.
This code was found by Heurico 1.16 in 217 seconds.