The generator matrix

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

generates a code of length 37 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+356x^30+664x^31+1547x^32+1660x^33+3100x^34+2920x^35+4028x^36+3764x^37+4490x^38+3144x^39+3212x^40+1572x^41+1326x^42+504x^43+284x^44+108x^45+66x^46+16x^48+6x^50

The gray image is a linear code over GF(2) with n=148, k=15 and d=60.
This code was found by Heurico 1.13 in 6.7 seconds.