The generator matrix

 1  0  1  1  1  6  1  1  0  1  1  6  1  6  1  1  1  0  1  4  1  1  1  6  2  1  1  0  1  1  1  1  0  1  1  6  0  1  6  1  1  1  1  0  6  1  1  1  0  1  1  1  1  1  1  6  1  1  6  1  2  1  6  1  1  0  6  1  6  1  6  1  1  1  2  1  1  1  0  2
 0  1  3  6  1  1  0  3  1  6  5  1  6  1  3  0  5  1  4  1  3  5  6  1  1  2  3  1  5  0  3  6  1  5  0  1  1  6  1  3  0  5  3  1  1  5  6  7  1  3  3  0  0  6  0  1  5  1  1  5  1  6  1  6  7  1  1  1  1  7  1  2  0  3  1  2  6  2  2  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  4  4  4  4  0  0  0  0  0  4  4  4  4  4  0  0  0  4  4  0  4  4  0  0  4  0  0  0  4  0  4  4  4  4  4  4  0  0  4  4  0  0  4  0  4  0  0  0  4  0  0  0  0  0  4  0  4
 0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  4  4  0  4  0  0  0  0  4  0  4  0  4  4  0  0  4  4  4  4  0  4  0  4  0  4  4  0  4  4  4  4  0  0  0  4  4  0  4  0  4  0  4  0  4  0  4  0  4  4  4  0  0  0  0  4  0  4  4  0  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  4  4  0  4  4  0  0  4  4  4  4  0  4  4  4  0  4  0  4  4  0  4  0  0  4  0  0  4  0  0  4  0  0  4  0  4  0  4  4  0  4  4  0  0  4  4  4  4  4  4  0  0  4  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  4  4  4  4  4  4  0  4  4  4  4  0  0  4  0  4  0  0  4  0  0  0  4  4  0  0  4  4  4  0  4  4  4  4  4  4  4  4  0  4  0  0  0  0  0  4  0  4  0  4
 0  0  0  0  0  0  4  0  0  0  4  0  4  0  4  4  0  4  0  4  0  0  4  0  0  4  4  0  0  4  4  4  0  4  0  0  4  0  0  4  4  4  4  4  0  4  0  0  0  0  4  4  4  0  0  4  4  0  4  0  0  4  0  4  0  4  4  4  4  4  0  0  0  4  0  4  0  4  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  0  4  4  4  0  4  4  4  4  0  4  0  4  4  4  0  4  4  4  0  0  0  4  4  0  0  4  0  4  0  0  4  4  0  4  0  4  4  4  0  0  0  0  4  0  4  4  4  4  4  0  4  4  4  4  0  0  4  4  0  4  4  0  0  4  0  4  0
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  4  4  0  4  0  4  0  0  4  4  0  4  4  0  0  4  4  4  0  4  0  4  4  4  0  4  0  4  4  0  4  4  0  4  0  0  0  0  0  0  4  0  4  4  0  0  0  4  4  0  0  0  0  4  4  0  0  0  0  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  0  4  0  4  4  0  4  4  4  0  4  4  0  0  0  0  0  4  0  0  4  0  4  4  4  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  4  4  4  0  4  0  0  4  0  0  0  0  4  0  4  0  4  4  4  4  4  4  4  0  4  0  4

generates a code of length 80 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+140x^68+16x^69+124x^70+52x^71+589x^72+152x^73+786x^74+364x^75+1438x^76+624x^77+1918x^78+824x^79+2384x^80+832x^81+1884x^82+648x^83+1443x^84+384x^85+800x^86+148x^87+491x^88+40x^89+114x^90+12x^91+84x^92+6x^94+61x^96+15x^100+10x^104

The gray image is a code over GF(2) with n=320, k=14 and d=136.
This code was found by Heurico 1.16 in 16.8 seconds.