The generator matrix

 1  0  0  1  1  1  X  1  1  2  2  0  X  1  1  0  1  X  1  1  1  1 X+2  0  1  0  2  1  1  0
 0  1  0  0  1  1  1  X X+3  1  1 X+2  1  X X+3  1  0  1 X+1 X+2  1 X+2  X  2  1  1  1 X+2 X+1  1
 0  0  1 X+1 X+3  0  1  1  X  1  X  1 X+3  X  3 X+1  2  X X+3 X+1  1 X+1  1  1 X+1 X+2 X+1 X+3  2 X+1
 0  0  0  2  0  0  0  2  0  0  2  2  2  0  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  0
 0  0  0  0  2  0  0  2  2  2  2  2  2  0  2  0  2  2  0  0  0  2  2  0  2  2  0  2  0  2
 0  0  0  0  0  2  0  0  2  0  2  2  2  0  0  2  0  0  0  0  2  2  0  2  2  2  0  2  0  0
 0  0  0  0  0  0  2  2  2  0  0  0  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  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+177x^24+164x^25+576x^26+480x^27+1152x^28+868x^29+1332x^30+928x^31+1175x^32+492x^33+504x^34+128x^35+166x^36+12x^37+20x^38+15x^40+2x^44

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 1.04 seconds.