The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+154x^29+693x^30+1458x^31+2691x^32+4770x^33+7424x^34+10076x^35+13358x^36+15868x^37+17073x^38+16662x^39+13625x^40+10702x^41+7483x^42+4398x^43+2413x^44+1176x^45+654x^46+232x^47+103x^48+32x^49+17x^50+6x^51+1x^52+2x^53

The gray image is a linear code over GF(2) with n=152, k=17 and d=58.
This code was found by Heurico 1.13 in 98.5 seconds.