The generator matrix

 1  0  0  0  1  1  1  1  2  1  X  1 X+2  1  2  2  1  1  1  2  1  1  X  2  1  2  0  1  1 X+2
 0  1  0  0  0  1  2  3  1 X+2  0 X+1  1  1  1  1  0  1  3  1 X+1 X+2  2 X+2  3  2  1  X X+2  1
 0  0  1  0  0  1  3  2  3  1  1  3  X X+2  1 X+2  3  0 X+1  0  2 X+3  1  1  0  X  1 X+2  2  0
 0  0  0  1  1  2  1  3  3  0 X+3  3 X+3 X+2  X X+3  0  0  3  X X+3 X+3  2 X+1  X  1 X+1  3  X X+2
 0  0  0  0  X  0  0  0  0 X+2  X  X  X X+2 X+2  X X+2  2 X+2  X  X X+2  2  2  2  2  0  2  0 X+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+288x^24+512x^25+1032x^26+1204x^27+1928x^28+1916x^29+2620x^30+1852x^31+2116x^32+1176x^33+994x^34+428x^35+199x^36+76x^37+24x^38+4x^39+11x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.13 in 1.63 seconds.