The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^68+126x^69+234x^70+366x^71+508x^72+632x^73+812x^74+1002x^75+1173x^76+1356x^77+1368x^78+1346x^79+1405x^80+1346x^81+1069x^82+948x^83+847x^84+590x^85+397x^86+234x^87+182x^88+140x^89+92x^90+66x^91+29x^92+24x^93+25x^94+6x^95+4x^96+10x^97+2x^98+1x^106

The gray image is a code over GF(2) with n=316, k=14 and d=136.
This code was found by Heurico 1.16 in 15.1 seconds.