The generator matrix

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

generates a code of length 38 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+55x^32+208x^33+281x^34+474x^35+345x^36+510x^37+485x^38+484x^39+303x^40+410x^41+229x^42+154x^43+55x^44+52x^45+27x^46+8x^47+9x^48+2x^49+2x^50+2x^53

The gray image is a linear code over GF(2) with n=152, k=12 and d=64.
This code was found by Heurico 1.16 in 0.358 seconds.