The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  4  2  2  2  2  0  1  1  4  1  2  1  2  0  1  1  1  2  4  0  0  0  1  1  2  1  0  1  1  0  1  0  1  4  1  0  1  2  1  2  1  2
 0  2  0  2  0  0  2  6  0  0  2  6  4  0  6  4  6  4  2  6  2  4  4  6  4  0  6  2  6  4  6  6  0  6  6  4  6  2  2  2  4  2  4  2  4  0  4  2  6  6  0  6  0  0  0  2  6  2  2  2  2  6  0  2  2  2  4  6  2  0  4  4  4  2  2  2  0  4  6  4  2
 0  0  2  2  0  6  2  0  0  6  2  0  2  4  2  4  0  6  2  0  6  2  4  2  6  0  0  4  0  6  6  2  6  4  6  4  4  0  6  2  2  2  2  6  2  4  6  2  6  0  0  0  2  4  0  2  4  6  2  2  2  0  6  6  6  6  2  2  2  4  2  0  2  2  4  4  6  4  0  2  2
 0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  4  4  4  0  0  0  4  0  4  4  4  0  4  0  4  0  0  4  4  4  4  0  4  4  4  4  0  0  0  4  4  4  0  0  0  4  0  4  0  0  0  4  0  4  0  4  4  0  4  0  4  0  0  4  0  0  0  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  0  4  4  0  4  0  0  4  4  4  4  4  4  0  0  0  4  0  4  4  0  4  0  4  4  4  4  4  4  4  4  4  0  0  0  4  0  4  4  4  4  4  0  4  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  0  4  4  0  4  0  4  4  4  4  4  4  4  4  4  4  0  4  0  0  0  4  0  0  0  0  0  0  4  0  0  4  0  4  4  4  4  4  0  4  0  4  4  0  4  4  4  0  0  4  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  0  0  0  4  4  0  4  4  4  4  4  0  4  4  4  0  4  0  0  4  0  4  4  0  4  4  0  0  0  0  0  4  4  0  0  4  4  0  4  0  0  0  4  0  0  0  4  4  4  4  4  4  0  4  0
 0  0  0  0  0  0  0  4  0  0  4  4  4  4  0  0  0  0  0  0  4  0  4  4  0  0  4  0  4  0  4  0  4  4  0  4  0  0  4  4  0  4  0  4  0  4  0  0  4  4  4  4  4  0  4  0  4  0  0  0  4  0  4  0  4  0  0  0  0  4  0  0  0  4  4  0  4  0  4  0  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  0  4  4  0  4  4  4  4  0  4  0  0  0  4  0  0  0  0  4  0  4  0  0  4  0  4  0  0  4  4  4  4  0  4  0  4  4  0  4  4  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  4
 0  0  0  0  0  0  0  0  0  4  0  4  0  0  4  4  4  0  0  0  4  4  4  0  4  0  4  0  0  0  0  0  4  4  0  4  0  4  4  4  0  0  4  0  4  4  4  0  0  4  0  0  0  0  4  0  0  4  4  4  0  4  4  4  4  0  4  4  4  0  4  4  0  0  4  0  4  4  0  0  4

generates a code of length 81 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+137x^68+4x^69+232x^70+52x^71+578x^72+180x^73+540x^74+516x^75+852x^76+848x^77+826x^78+1608x^79+1045x^80+1768x^81+822x^82+1480x^83+955x^84+1124x^85+716x^86+388x^87+659x^88+164x^89+360x^90+52x^91+256x^92+8x^93+82x^94+91x^96+6x^98+22x^100+9x^104+2x^108+1x^112

The gray image is a code over GF(2) with n=324, k=14 and d=136.
This code was found by Heurico 1.16 in 23.8 seconds.