The generator matrix

 1  0  0  1  1  1  2  1  1  4  6  1  6  1  1  1  0  0  1  4  1  4  6  1  1  6  1  1  2  1  6  6  1  2  4  1  1  1
 0  1  0  1  0  3  1  0  2  1  1  1  0  6  7  3  1  1  3  1  3  1  2  1  6  0  6  6  1  6  0  1  4  2  0  5  7  0
 0  0  1  1  1  0  1  2  3  2  3  3  1  2  2  3  2  1  1  4  6  3  1  6  1  1  3  4  4  7  1  5  5  0  4  2  0  0
 0  0  0  2  0  6  0  2  2  2  6  0  6  4  4  6  6  0  4  0  2  2  4  2  0  4  2  6  0  6  2  6  2  0  2  6  0  0
 0  0  0  0  2  0  0  0  0  2  2  2  6  2  0  2  4  6  4  6  6  0  6  4  2  0  6  6  4  6  0  6  2  6  2  4  2  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  0  4  4  4  4  4  4  0  4  0
 0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  4  0  4  4  0  4  0  0  0  4  4  0  0  0  4  0  4  0  0  4  4  4  0
 0  0  0  0  0  0  0  4  4  4  4  0  4  0  0  4  4  4  4  4  0  4  0  4  4  0  0  0  4  0  4  4  4  4  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^28+170x^29+427x^30+864x^31+1464x^32+2448x^33+3641x^34+5078x^35+6634x^36+7748x^37+8154x^38+7900x^39+6750x^40+5216x^41+3796x^42+2344x^43+1386x^44+770x^45+337x^46+196x^47+64x^48+32x^49+27x^50+2x^51+8x^52+2x^54+1x^64

The gray image is a code over GF(2) with n=152, k=16 and d=56.
This code was found by Heurico 1.16 in 62.9 seconds.