The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  2  2  1  2  1  2  1  0  4  0  2  1  2  2  1  2  1  2  1  1  1  1
 0  2  0  0  0  2  6  2  0  0  4  2  6  6  2  2  4  6  6  4  4  2  0  4  2  2  0  4  6  0  4  0  6  4  0  6  6  0  4  0
 0  0  2  0  2  2  6  0  0  0  6  2  4  2  4  4  2  0  2  6  0  2  0  4  0  4  2  2  6  2  2  4  0  4  0  0  6  2  0  0
 0  0  0  2  2  0  6  2  0  6  2  0  4  2  6  6  4  4  2  6  2  0  0  6  4  0  2  0  2  2  4  2  0  6  0  2  0  2  2  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  0  4  4  0  0  4  0  4  0  4  4  0  0  0  4  0  0  4  0  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  4  4  0  4  0  4  0  0  0  4  4  0  4  0  4  4  0  0  0  4  4  4  0  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  0  0  0  4  4  4  0  4  0  0  4  4  0  0  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  0  0  4  4  0  4  4  4  0  4  4  4  0  0  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  0  4  0  4  0  0  4  0  4  4  0  4  0  0  4  0  4  4  0  0  0  4  4  4  4  0  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  4  0  4  0  0  0  4  0  0  4  4  0  0  0  4  0  0  0  4  4  0  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^28+86x^29+173x^30+232x^31+405x^32+468x^33+912x^34+1064x^35+1733x^36+2452x^37+3055x^38+3896x^39+3678x^40+3840x^41+3060x^42+2482x^43+1905x^44+1110x^45+835x^46+464x^47+342x^48+220x^49+136x^50+52x^51+71x^52+16x^53+17x^54+6x^56+4x^58+2x^59+1x^60

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 27.5 seconds.