The generator matrix

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

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+93x^24+340x^25+569x^26+600x^27+1014x^28+844x^29+1280x^30+904x^31+1024x^32+598x^33+475x^34+232x^35+140x^36+56x^37+10x^38+8x^39+2x^41+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 1.13 in 0.425 seconds.