The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+56x^19+149x^20+432x^21+694x^22+1752x^23+2920x^24+5318x^25+7321x^26+8812x^27+10658x^28+8796x^29+7180x^30+5388x^31+3051x^32+1784x^33+650x^34+364x^35+113x^36+52x^37+22x^38+12x^39+4x^40+2x^41+5x^42

The gray image is a code over GF(2) with n=112, k=16 and d=38.
This code was found by Heurico 1.16 in 77.3 seconds.