The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+54x^28+138x^29+296x^30+596x^31+950x^32+1350x^33+1654x^34+2022x^35+2253x^36+2026x^37+1753x^38+1342x^39+902x^40+562x^41+240x^42+130x^43+60x^44+20x^45+22x^46+6x^47+3x^48+2x^50+1x^52+1x^54

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 4.19 seconds.