The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  1  0  2  0  2  1  1  0  2  1  1  0  0  2  2  2
 0  2  0  6  0  6  0  6  0  6  4  0  6  6  2  0  4  6  2  6  0  2  6  2  6  6  0  2  6  6  4  2  2  4  6  0
 0  0  4  0  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0  4  0  4  0  4  0  0  4  4  0  4  0  0  0  0  4
 0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  4  4  0  4  0  4  4  0  4  4  4  4  4  4  4  0  4  4  4  4  0  0  4  0  0
 0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  4  0  4  4  4  4  0  4  4  4  0  0  0  0  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  4  0  0  4  4  0  4  4  4  0  0  0  4  0  0  4  0  4  4  4  4
 0  0  0  0  0  0  0  4  0  4  0  0  4  0  4  4  4  0  4  0  0  0  4  0  4  0  0  4  0  4  0  4  4  0  0  4
 0  0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  0  0  4  4  0  0  4  4  0  0  0  0  4  4  0  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+118x^28+148x^30+509x^32+736x^34+1072x^36+776x^38+480x^40+128x^42+102x^44+4x^46+18x^48+4x^52

The gray image is a code over GF(2) with n=144, k=12 and d=56.
This code was found by Heurico 1.16 in 0.534 seconds.