The generator matrix

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

generates a code of length 39 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+106x^28+114x^29+283x^30+444x^31+803x^32+1172x^33+2185x^34+3204x^35+5012x^36+6780x^37+7985x^38+9152x^39+7954x^40+7040x^41+5083x^42+3232x^43+2254x^44+1170x^45+729x^46+324x^47+232x^48+92x^49+107x^50+28x^51+20x^52+16x^53+11x^54+2x^56+1x^58

The gray image is a code over GF(2) with n=156, k=16 and d=56.
This code was found by Heurico 1.16 in 77.5 seconds.