The generator matrix

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

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+40x^30+176x^31+316x^32+606x^33+589x^34+952x^35+846x^36+1130x^37+874x^38+1032x^39+588x^40+534x^41+268x^42+136x^43+34x^44+30x^45+14x^46+8x^47+7x^48+4x^49+7x^50

The gray image is a linear code over GF(2) with n=148, k=13 and d=60.
This code was found by Heurico 1.16 in 1.42 seconds.