The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1 X^2+X  1  1  0  1  1  0  1  1  1  1  1 X^2+X  X  1  1  1  1  1  1  0  0  X X^2+X  X  X X^2  1
 0  1  1  0 X^2+X+1  1  0 X+1  1 X^2+X+1  1  X X^2+1  1 X^2 X^2+X  1 X^2+X+1  X X+1 X^2+1 X^2+1  1  1  X X^2+X X+1 X^2+X+1 X^2 X+1  1  X X^2+X  1  1  0  1  0
 0  0  X  0 X^2+X  0  X  0  X X^2  X X^2+X  X X^2+X  X X^2+X  0  X X^2  X X^2  0 X^2+X  X  0 X^2  0 X^2  X X^2  X  X  X  0  0 X^2+X  X  0
 0  0  0  X  0  0  X  0 X^2 X^2+X X^2+X  0  X  X X^2 X^2+X X^2+X  X  X X^2+X X^2  X  X  0 X^2+X X^2 X^2+X  X X^2+X  0 X^2+X X^2+X X^2  X X^2  0 X^2  0
 0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0
 0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0  0 X^2  0
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0  0 X^2  0  0  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+38x^30+100x^31+205x^32+414x^33+344x^34+814x^35+637x^36+1230x^37+685x^38+1260x^39+542x^40+816x^41+412x^42+368x^43+128x^44+96x^45+52x^46+16x^47+20x^48+2x^49+4x^50+2x^51+3x^52+2x^53+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 1.99 seconds.