The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+56x^28+140x^29+452x^30+640x^31+1082x^32+1032x^33+1820x^34+1714x^35+2364x^36+1882x^37+1882x^38+1080x^39+1095x^40+496x^41+376x^42+146x^43+67x^44+30x^45+14x^46+4x^47+6x^48+4x^49+1x^52

The gray image is a code over GF(2) with n=144, k=14 and d=56.
This code was found by Heurico 1.16 in 4.24 seconds.