The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+80x^26+194x^27+803x^28+398x^29+1204x^30+372x^31+771x^32+172x^33+64x^34+10x^35+8x^36+6x^37+12x^38+1x^44

The gray image is a code over GF(2) with n=240, k=12 and d=104.
This code was found by Heurico 1.16 in 0.093 seconds.