The generator matrix

 1  0  1  1  1 X^3 X^2+X  1  1 X^3+X^2+X  1  1  1  1  1  1  X  1  X
 0  1 X+1 X^3+X^2+X X^2+1  1  1 X^3 X^2+X  1 X^3+X^2+1 X+1 X^3 X^3+X X^3+X^2+X+1 X^2 X^3+X^2 X^3 X^3+X^2+X
 0  0 X^2 X^3+X^2 X^3 X^2  0 X^2  0 X^3+X^2 X^2  0 X^3 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2

generates a code of length 19 over Z2[X]/(X^4) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+178x^17+213x^18+312x^19+142x^20+124x^21+26x^22+24x^23+1x^24+2x^25+1x^26

The gray image is a linear code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 1.95 seconds.