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

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+148x^30+465x^32+630x^34+192x^35+1065x^36+832x^37+1486x^38+832x^39+1181x^40+192x^41+636x^42+335x^44+130x^46+56x^48+10x^50+1x^64

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 2.72 seconds.