The generator matrix

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

generates a code of length 28 over F8[X]/(X^2) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+1344x^183+16506x^184+3360x^185+896x^189+8064x^191+55223x^192+6720x^193+28672x^196+6272x^197+19264x^199+104328x^200+11424x^201+14x^216+56x^224

The gray image is a linear code over GF(8) with n=224, k=6 and d=183.
This code was found by Heurico 1.16 in 4.3 seconds.