The generator matrix
1 0 1 1 1 X^2+X 1 1 X^2 X^2 1 X^2+X 1 1 X^2 1 1 1 1
0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+X+1 1 X^2+1 X^2 1 X^2+1 X^2+X X X^2+1
0 0 X 0 X^2+X X^2 X^2 X X 0 X^2 X^2+X 0 X^2+X X^2+X 0 X X^2+X X
0 0 0 X 0 X^2 X^2+X X X^2 X X X^2+X X^2 0 0 X^2 X^2+X X^2+X X
0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0
generates a code of length 19 over Z2[X]/(X^3) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+74x^15+201x^16+252x^17+312x^18+382x^19+344x^20+248x^21+128x^22+54x^23+30x^24+12x^25+8x^26+2x^27
The gray image is a linear code over GF(2) with n=76, k=11 and d=30.
This code was found by Heurico 1.16 in 28.7 seconds.