The generator matrix

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

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+90x^25+285x^26+466x^27+512x^28+506x^29+531x^30+502x^31+407x^32+310x^33+251x^34+150x^35+56x^36+22x^37+5x^38+2x^39

The gray image is a code over GF(2) with n=120, k=12 and d=50.
This code was found by Heurico 1.11 in 0.117 seconds.