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

generates a code of length 82 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+72x^68+38x^69+121x^70+110x^71+258x^72+222x^73+375x^74+418x^75+498x^76+768x^77+898x^78+1128x^79+1169x^80+1396x^81+1449x^82+1466x^83+1256x^84+1128x^85+787x^86+726x^87+597x^88+430x^89+262x^90+206x^91+156x^92+96x^93+146x^94+36x^95+70x^96+16x^97+38x^98+6x^99+16x^100+2x^101+15x^102+1x^104+3x^106+2x^108+1x^114+1x^118

The gray image is a code over GF(2) with n=328, k=14 and d=136.
This code was found by Heurico 1.16 in 23.7 seconds.