The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+100x^67+463x^68+708x^69+1124x^70+1352x^71+1786x^72+2154x^73+2330x^74+2464x^75+2770x^76+2558x^77+2758x^78+2504x^79+2410x^80+1844x^81+1755x^82+1242x^83+967x^84+604x^85+360x^86+266x^87+127x^88+50x^89+25x^90+20x^91+18x^92+2x^93+2x^95+2x^96+2x^99

The gray image is a code over GF(2) with n=308, k=15 and d=134.
This code was found by Heurico 1.16 in 39.8 seconds.