The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^68+254x^69+488x^70+678x^71+1083x^72+1312x^73+1474x^74+1926x^75+2387x^76+2554x^77+2774x^78+2932x^79+2706x^80+2690x^81+2291x^82+1942x^83+1625x^84+1198x^85+834x^86+552x^87+428x^88+216x^89+148x^90+76x^91+48x^92+26x^93+20x^94+22x^95+6x^96+6x^97+3x^98

The gray image is a code over GF(2) with n=316, k=15 and d=136.
This code was found by Heurico 1.16 in 48 seconds.