The generator matrix

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

generates a code of length 32 over F8[X]/(X^2) who´s minimum homogenous weight is 206.

Homogenous weight enumerator: w(x)=1x^0+896x^206+84x^208+952x^210+1456x^211+2576x^212+13160x^213+7728x^214+168x^216+1344x^217+13328x^218+9184x^219+9184x^220+27440x^221+14112x^222+56x^224+9408x^225+46648x^226+21616x^227+16912x^228+45416x^229+20272x^230+63x^232+119x^240+21x^248

The gray image is a linear code over GF(8) with n=256, k=6 and d=206.
This code was found by Heurico 1.16 in 6.15 seconds.