The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  0  0  0  X  1  X  1  2
 0  X  0  0  0  0  0  0  0  X X+2  X  2  2  X  0  2 X+2  X X+2  2  X  X  2  2  X  X  X  X  2
 0  0  X  0  0  0  X X+2  X  X  X  0  0  X  2  X X+2 X+2  2  2 X+2  2  X  0  2  0  0  0  2  2
 0  0  0  X  0  X  X  X  2  0  0  2  2  2 X+2 X+2  0  X  0 X+2  0 X+2  2  X  0  X X+2  X  X  2
 0  0  0  0  X  X  2 X+2 X+2  0  X  X  0 X+2  X  2  X X+2  X X+2 X+2  2 X+2  0  X X+2 X+2  0  X  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  0  2  0  2  0  2  0  2  0  0  0  0  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+294x^24+56x^25+113x^26+272x^27+533x^28+720x^29+196x^30+640x^31+503x^32+312x^33+166x^34+48x^35+178x^36+36x^38+26x^40+1x^42+1x^44

The gray image is a code over GF(2) with n=120, k=12 and d=48.
This code was found by Heurico 1.16 in 35.9 seconds.