The generator matrix

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

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+77x^24+4x^25+212x^26+104x^27+304x^28+136x^29+378x^30+176x^31+304x^32+84x^33+154x^34+8x^35+75x^36+22x^38+6x^40+2x^42+1x^44

The gray image is a linear code over GF(2) with n=120, k=11 and d=48.
This code was found by Heurico 1.16 in 0.115 seconds.