The generator matrix

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

generates a code of length 30 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+147x^24+1216x^25+3250x^26+8104x^27+14904x^28+24514x^29+26513x^30+24828x^31+15222x^32+7992x^33+2964x^34+1114x^35+220x^36+66x^37+9x^38+4x^41+2x^43+2x^44

The gray image is a code over GF(2) with n=240, k=17 and d=96.
This code was found by Heurico 1.16 in 50 seconds.