The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+38x^25+72x^26+92x^27+292x^28+134x^29+826x^30+138x^31+274x^32+68x^33+52x^34+24x^35+8x^36+14x^37+10x^38+2x^39+2x^41+1x^48

The gray image is a code over GF(2) with n=240, k=11 and d=100.
This code was found by Heurico 1.16 in 2.36 seconds.