The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+53x^68+152x^69+270x^70+384x^71+493x^72+528x^73+633x^74+662x^75+655x^76+720x^77+648x^78+690x^79+581x^80+506x^81+436x^82+252x^83+181x^84+102x^85+61x^86+44x^87+40x^88+26x^89+26x^90+14x^91+11x^92+10x^93+5x^94+2x^95+4x^97+1x^98+1x^104

The gray image is a code over GF(2) with n=308, k=13 and d=136.
This code was found by Heurico 1.16 in 3.73 seconds.