The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+98x^25+303x^26+408x^27+507x^28+550x^29+522x^30+522x^31+385x^32+334x^33+259x^34+108x^35+63x^36+26x^37+4x^38+2x^39+4x^40

The gray image is a code over GF(2) with n=120, k=12 and d=50.
This code was found by Heurico 1.16 in 0.243 seconds.