The generator matrix

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

generates a code of length 36 over Z8 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+4x^27+197x^28+80x^29+360x^30+448x^31+922x^32+1328x^33+1530x^34+2248x^35+2124x^36+2224x^37+1648x^38+1312x^39+922x^40+464x^41+276x^42+84x^43+157x^44+24x^46+27x^48+2x^50+2x^52

The gray image is a code over GF(2) with n=144, k=14 and d=54.
This code was found by Heurico 1.16 in 21.6 seconds.