The generator matrix

 1  0  0  1  1  1 X^2+X  1  X  1  1 X^2+X  1 X^2  1  1  0  1  1 X^2+X X^2+X  0  1 X^2  X X^2 X^2  0 X^2  1  0  1  1  1  1  0  1
 0  1  0  0  1 X^2+X+1  1 X^2+X  1 X^2+X+1 X^2  1 X^2+1  0  1  X  1  0 X^2+1 X^2  X  1  0  1  1  1  X  1  1 X+1 X^2 X+1  0  X X^2+X+1  X  0
 0  0  1  1 X+1  0  1  1 X^2+X X^2+X+1  0 X+1 X^2  1  1 X+1 X^2+X X^2+X X^2+X+1  1  1  1 X+1 X^2+1 X^2+X X+1  1  0  0  1  1 X+1  0  0 X^2+X  1 X^2
 0  0  0  X  X X^2+X X^2+X  X X^2  X X^2+X X^2  0 X^2+X X^2 X^2+X  X X^2  0 X^2  X X^2  0  X  X  X  0  0 X^2 X^2  0  0 X^2  0 X^2+X  X X^2
 0  0  0  0 X^2  0  0  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0  0
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0  0  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+38x^30+182x^31+308x^32+540x^33+722x^34+812x^35+1001x^36+1004x^37+1037x^38+906x^39+629x^40+478x^41+263x^42+136x^43+71x^44+24x^45+13x^46+12x^47+6x^48+2x^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 1.61 seconds.