The generator matrix

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

generates a code of length 38 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+40x^28+82x^29+199x^30+298x^31+392x^32+612x^33+801x^34+1134x^35+1633x^36+1854x^37+2102x^38+2070x^39+1586x^40+1290x^41+816x^42+518x^43+396x^44+232x^45+153x^46+72x^47+43x^48+26x^49+23x^50+4x^51+3x^52+2x^54+2x^56

The gray image is a code over GF(2) with n=152, k=14 and d=56.
This code was found by Heurico 1.16 in 7.41 seconds.