The generator matrix

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

generates a code of length 30 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+120x^23+654x^24+2976x^25+6622x^26+16364x^27+29620x^28+48272x^29+52256x^30+49144x^31+29567x^32+16564x^33+6488x^34+2524x^35+692x^36+216x^37+40x^38+8x^39+10x^40+4x^41+2x^42

The gray image is a code over GF(2) with n=240, k=18 and d=92.
This code was found by Heurico 1.16 in 200 seconds.