The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+52x^27+275x^28+700x^29+1214x^30+2234x^31+3527x^32+5134x^33+6808x^34+8244x^35+8922x^36+8244x^37+7160x^38+5332x^39+3476x^40+2100x^41+1088x^42+576x^43+243x^44+136x^45+50x^46+10x^47+4x^48+6x^49

The gray image is a code over GF(2) with n=144, k=16 and d=54.
This code was found by Heurico 1.16 in 56.2 seconds.