The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+209x^28+628x^29+1433x^30+2294x^31+3693x^32+5262x^33+6971x^34+7458x^35+8810x^36+8074x^37+7614x^38+5316x^39+3622x^40+2076x^41+1187x^42+530x^43+177x^44+86x^45+72x^46+18x^47+2x^49+2x^50+1x^54

The gray image is a code over GF(2) with n=144, k=16 and d=56.
This code was found by Heurico 1.11 in 25.7 seconds.