The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X a*X a*X a^5*X a^5*X a^6*X a^6*X  0  X a*X a^2*X a^5*X a^2*X  0 a^2*X  X
 0  0  X a^6*X a^2*X a^4*X  X a^2*X a^6*X a^4*X a*X a^4*X a*X a*X a^3*X a^3*X a^3*X a^6*X a^5*X

generates a code of length 19 over F8[X]/(X^2) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+63x^120+245x^128+3584x^133+84x^136+42x^144+77x^152

The gray image is a linear code over GF(8) with n=152, k=4 and d=120.
This code was found by Heurico 1.16 in 0.00353 seconds.