The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^28+76x^29+211x^30+300x^31+423x^32+634x^33+858x^34+1160x^35+1531x^36+1900x^37+1893x^38+1932x^39+1596x^40+1240x^41+890x^42+612x^43+392x^44+232x^45+221x^46+88x^47+52x^48+14x^49+19x^50+4x^51+3x^52+3x^54+1x^66

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 7.34 seconds.