The generator matrix

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

generates a code of length 28 over F8[X]/(X^2) who´s minimum homogenous weight is 192.

Homogenous weight enumerator: w(x)=1x^0+1617x^192+896x^196+1568x^200+14x^224

The gray image is a linear code over GF(8) with n=224, k=4 and d=192.
This code was found by Heurico 1.16 in 0.114 seconds.