The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+239x^28+12x^29+762x^30+216x^31+2061x^32+1304x^33+4310x^34+4072x^35+7979x^36+6704x^37+9976x^38+6712x^39+8286x^40+4008x^41+4520x^42+1272x^43+1963x^44+260x^45+598x^46+16x^47+194x^48+50x^50+9x^52+8x^54+2x^56+2x^60

The gray image is a code over GF(2) with n=152, k=16 and d=56.
This code was found by Heurico 1.16 in 75.4 seconds.