The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1 X^2+X X^2 X^2 X^2+X X^2+X  0  1 X^2  0  1  1 X^2  1  1  1  0  X X^2  1  1 X^2+X  1  1  1  1  1
 0  1  0  0  0  1  1  1 X^2+X+1 X^2+1  X  0 X^2  1  1  1  1  X X^2+1  1  0  X X^2 X^2 X^2+X+1 X^2+X+1  0  1  1 X^2+X X+1  X  0  1 X^2+1  1  X  0
 0  0  1  0  1  1  0  1 X^2+1 X^2+X X^2+1  X  1 X+1  0 X^2 X^2+1  1 X+1 X^2+X X^2+X X^2+X+1 X^2+X  1 X+1 X^2+1  X X^2+X+1 X+1  1  X X^2 X^2 X^2  1 X^2+1 X^2  0
 0  0  0  1  1  0  1 X^2+1 X^2+X+1 X^2 X^2 X^2+1 X^2+X+1  X X^2+1 X^2+X  1 X^2 X+1 X^2+1  1 X^2+1 X^2 X^2+1 X^2+X+1 X^2+X X^2+X+1 X^2+X+1  1 X^2+X X^2+1 X^2  1 X^2 X^2+1  X  1  0
 0  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 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  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2
 0  0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 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+96x^30+364x^31+843x^32+1192x^33+1809x^34+2684x^35+3279x^36+3888x^37+4208x^38+4050x^39+3554x^40+2712x^41+1742x^42+1162x^43+664x^44+272x^45+144x^46+58x^47+42x^48+1x^50+2x^51+1x^52

The gray image is a linear code over GF(2) with n=152, k=15 and d=60.
This code was found by Heurico 1.16 in 19.6 seconds.