The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+54x^22+132x^23+235x^24+376x^25+709x^26+1284x^27+1806x^28+2304x^29+2568x^30+2338x^31+1832x^32+1256x^33+714x^34+370x^35+210x^36+96x^37+50x^38+34x^39+11x^40+1x^42+2x^43+1x^48

The gray image is a code over GF(2) with n=120, k=14 and d=44.
This code was found by Heurico 1.16 in 4.94 seconds.