The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  0  1  X  X  1  1  X  0  1  2  1
 0  X  0  0  0  X X+2  X  2  2  0  0  X  X  X X+2  2  2 X+2  X  2 X+2  X X+2 X+2  X  X  X  X  2
 0  0  X  0  X  X  X  0  2  0  X X+2 X+2  0 X+2  0  2  0  2  2 X+2 X+2  0 X+2  2  X X+2  0 X+2  X
 0  0  0  X  X  0  X X+2  0  X  X  2  2 X+2  X  0 X+2  X  2  2  2  X X+2  0  2 X+2  X  2  0  0
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  0  2  0  0  2  2  2  0  2  2  0  0  2  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  2  0  2  2  0  0  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+43x^24+98x^25+115x^26+158x^27+266x^28+258x^29+212x^30+284x^31+225x^32+134x^33+104x^34+64x^35+34x^36+22x^37+16x^38+4x^39+7x^40+1x^42+2x^43

The gray image is a code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.118 seconds.