The generator matrix

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

generates a code of length 39 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+215x^34+300x^35+504x^36+440x^37+510x^38+420x^39+421x^40+336x^41+349x^42+196x^43+238x^44+88x^45+60x^46+12x^47+4x^48+2x^50

The gray image is a code over GF(2) with n=156, k=12 and d=68.
This code was found by Heurico 1.16 in 0.301 seconds.