The generator matrix

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

generates a code of length 36 over F8[X]/(X^2) who´s minimum homogenous weight is 234.

Homogenous weight enumerator: w(x)=1x^0+1512x^234+560x^238+2184x^239+847x^240+11536x^241+16576x^242+896x^245+7840x^246+13104x^247+2387x^248+23968x^249+29512x^250+6272x^253+27440x^254+31304x^255+4270x^256+39760x^257+42000x^258+91x^264+70x^272+14x^280

The gray image is a linear code over GF(8) with n=288, k=6 and d=234.
This code was found by Heurico 1.16 in 6.71 seconds.