The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^23+221x^24+546x^25+762x^26+1454x^27+1534x^28+2346x^29+2149x^30+2794x^31+1596x^32+1370x^33+633x^34+498x^35+227x^36+86x^37+39x^38+14x^39+2x^40+4x^41+1x^42+3x^44

The gray image is a code over GF(2) with n=120, k=14 and d=46.
This code was found by Heurico 1.16 in 4.93 seconds.