The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+152x^30+467x^32+32x^33+597x^34+288x^35+1158x^36+704x^37+1424x^38+704x^39+1164x^40+288x^41+618x^42+32x^43+353x^44+144x^46+56x^48+9x^50+1x^60

The gray image is a linear code over GF(2) with n=152, k=13 and d=60.
This code was found by Heurico 1.16 in 2.58 seconds.