The generator matrix

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

generates a code of length 43 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+88x^28+49x^30+235x^32+145x^34+348x^36+64x^37+250x^38+384x^39+445x^40+960x^41+428x^42+9472x^43+460x^44+960x^45+524x^46+384x^47+311x^48+64x^49+369x^50+124x^52+190x^54+31x^56+79x^58+4x^60+11x^62+1x^64+2x^66+1x^74

The gray image is a code over GF(2) with n=172, k=14 and d=56.
This code was found by Heurico 1.16 in 9.69 seconds.