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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+50x^68+104x^69+126x^70+230x^71+311x^72+316x^73+393x^74+480x^75+566x^76+596x^77+590x^78+718x^79+763x^80+626x^81+498x^82+410x^83+340x^84+288x^85+218x^86+156x^87+111x^88+80x^89+59x^90+46x^91+28x^92+36x^93+26x^94+8x^95+6x^96+2x^97+9x^98+1x^114

The gray image is a code over GF(2) with n=316, k=13 and d=136.
This code was found by Heurico 1.16 in 5.57 seconds.