The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+117x^24+266x^25+513x^26+696x^27+821x^28+1048x^29+1167x^30+1162x^31+930x^32+714x^33+401x^34+156x^35+111x^36+52x^37+29x^38+2x^39+4x^40+2x^42

The gray image is a code over GF(2) with n=120, k=13 and d=48.
This code was found by Heurico 1.16 in 1.19 seconds.