The generator matrix

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

generates a code of length 29 over F8[X]/(X^2) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+98x^176+112x^182+672x^183+1141x^184+1344x^189+2352x^190+6048x^191+3591x^192+18816x^197+16464x^198+28896x^199+11305x^200+65856x^205+38416x^206+50400x^207+15414x^208+679x^216+448x^224+91x^232

The gray image is a linear code over GF(8) with n=232, k=6 and d=176.
This code was found by Heurico 1.16 in 5.86 seconds.