The generator matrix

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

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+33x^22+100x^23+292x^24+458x^25+985x^26+1078x^27+2006x^28+1922x^29+2592x^30+1974x^31+2033x^32+1118x^33+949x^34+418x^35+258x^36+86x^37+47x^38+14x^39+18x^40+1x^42+1x^50

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 3.61 seconds.