The generator matrix

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

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+45x^30+92x^31+181x^32+310x^33+453x^34+692x^35+867x^36+948x^37+1067x^38+1012x^39+804x^40+664x^41+430x^42+236x^43+178x^44+124x^45+47x^46+16x^47+14x^48+2x^49+5x^50+3x^52+1x^54

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 1.83 seconds.