The generator matrix

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

generates a code of length 39 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+38x^28+40x^29+186x^30+298x^31+743x^32+1154x^33+2460x^34+3134x^35+5855x^36+5962x^37+9137x^38+7428x^39+9147x^40+6020x^41+5910x^42+3228x^43+2468x^44+1100x^45+692x^46+242x^47+154x^48+58x^49+45x^50+6x^51+23x^52+2x^53+1x^54+3x^56+1x^66

The gray image is a code over GF(2) with n=156, k=16 and d=56.
This code was found by Heurico 1.16 in 59.4 seconds.