The generator matrix

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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+46x^28+14x^29+136x^30+52x^31+229x^32+204x^33+628x^34+936x^35+1721x^36+2646x^37+3338x^38+4360x^39+4190x^40+4328x^41+3330x^42+2608x^43+1742x^44+954x^45+636x^46+228x^47+214x^48+44x^49+104x^50+8x^51+42x^52+2x^53+18x^54+6x^56+2x^58+1x^68

The gray image is a code over GF(2) with n=160, k=15 and d=56.
This code was found by Heurico 1.16 in 19.4 seconds.