The generator matrix

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

generates a code of length 40 over Z8 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+50x^29+128x^30+206x^31+438x^32+694x^33+609x^34+1670x^35+953x^36+3728x^37+1169x^38+5872x^39+1473x^40+5912x^41+1272x^42+3920x^43+1132x^44+1694x^45+550x^46+562x^47+305x^48+194x^49+101x^50+58x^51+42x^52+16x^53+9x^54+7x^56+2x^58+1x^68

The gray image is a code over GF(2) with n=160, k=15 and d=58.
This code was found by Heurico 1.16 in 30.2 seconds.