The generator matrix

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

generates a code of length 30 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+24x^25+74x^26+248x^27+547x^28+688x^29+945x^30+688x^31+534x^32+248x^33+65x^34+24x^35+1x^36+3x^38+5x^40+1x^42

The gray image is a code over GF(2) with n=240, k=12 and d=100.
This code was found by Heurico 1.16 in 0.094 seconds.