The generator matrix

 1  0  1  1  1  0  1  1 X^2  1  1 X^2+X  1  1  1  0  1 X^2+X  1  1  1 X^2+X  1  1 X^2+X  1  1 X^2+X  1  X  1 X^2  X  0  X  1  1  1
 0  1  1  0  1  1 X+1 X^2  1  0 X^2+X+1  1 X^2+X X^2+X X+1  1 X^2+X+1  1 X^2  X  X  1 X^2 X+1  1 X+1 X^2+X+1  1  0  1  1  1 X^2  X  1  X X^2+X+1 X^2
 0  0  X  0  0  0  0  X  X  X X^2+X  X  0 X^2+X X^2 X^2  X  X  0  0 X^2+X X^2 X^2+X X^2+X X^2 X^2  X  X X^2  0  X  X X^2 X^2 X^2+X  X  0  0
 0  0  0  X  0 X^2+X  X  X X^2+X X^2  X  0 X^2  X X^2  X  X  0 X^2 X^2 X^2 X^2 X^2+X X^2 X^2  X X^2+X  X  X X^2+X  0  X  0 X^2+X  X X^2  0  0
 0  0  0  0  X  0  X X^2+X X^2+X  X X^2  X X^2  X X^2 X^2+X X^2+X  0  X X^2+X  0  0 X^2  X  X X^2  0 X^2  X  X X^2  0  X X^2+X X^2+X X^2  X X^2+X
 0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 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+29x^30+82x^31+221x^32+236x^33+582x^34+490x^35+1094x^36+734x^37+1304x^38+754x^39+1096x^40+474x^41+526x^42+198x^43+192x^44+82x^45+51x^46+12x^47+18x^48+10x^49+4x^50+2x^52

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 1.99 seconds.