The generator matrix

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

generates a code of length 30 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+254x^24+564x^25+1040x^26+1260x^27+1859x^28+1932x^29+2384x^30+2120x^31+1936x^32+1372x^33+978x^34+364x^35+197x^36+68x^37+44x^38+9x^40+2x^42

The gray image is a linear code over GF(2) with n=120, k=14 and d=48.
This code was found by Heurico 1.13 in 1.41 seconds.