The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+278x^28+224x^29+646x^30+968x^31+1807x^32+2584x^33+3358x^34+4392x^35+4226x^36+4408x^37+3280x^38+2648x^39+1936x^40+968x^41+624x^42+184x^43+166x^44+8x^45+26x^46+32x^48+2x^50+2x^52

The gray image is a code over GF(2) with n=144, k=15 and d=56.
This code was found by Heurico 1.16 in 30.8 seconds.