The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  2  1  2  1  2  4  0  2  2  1  4  4  0  2  2  4  1  2
 0  4  0  4  0  4  0  4  0  4  0  4  4  0  4  4  0  4  0  0  4  4  0  4  4  4  0  0  0  4  4  0  4  0  4  0

generates a code of length 36 over Z8 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+12x^38+3x^40

The gray image is a code over GF(2) with n=144, k=4 and d=76.
This code was found by Heurico 1.16 in 0.0116 seconds.