The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  2  2  0  0  1  2  1  4  4  1  1  4  1  0  1  1  2  1  0  4
 0  2  0  0  0  2  6  2  0  0  4  2  4  6  2  4  2  2  0  6  0  2  4  6  4  2  2  4  4  0  4  4  2  2  6  0  4  2
 0  0  2  0  2  2  6  0  0  0  6  6  2  2  6  2  0  4  2  0  4  6  0  0  2  4  2  6  0  2  6  4  0  4  6  2  2  0
 0  0  0  2  2  0  6  2  0  6  2  4  0  2  4  4  0  2  2  0  2  2  0  4  2  6  0  0  2  6  2  2  6  4  6  0  0  2
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  4  0  0  4  0  0  0  0  4  4  4  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  0  0  0  4  0  4  0  0  0  4  4  0  4  4  0  0  4  0  0  4  0  4  4  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  0  4  4  0  0  4  4  0  0  4  4  4  4  4  0  0  4  0  4  4  4
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  4  0  0  0  4  4  4  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  0  4  4  0  4  0  4  4  0  4  4  4  0  0  4  4  4  0  4  0  4  0  0

generates a code of length 38 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+317x^28+636x^30+1668x^32+3400x^34+6361x^36+7754x^38+6677x^40+3544x^42+1567x^44+488x^46+275x^48+48x^50+27x^52+2x^54+3x^56

The gray image is a code over GF(2) with n=152, k=15 and d=56.
This code was found by Heurico 1.16 in 33.7 seconds.