The generator matrix

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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+64x^56+47x^58+18x^59+154x^60+70x^61+204x^62+158x^63+375x^64+394x^65+498x^66+712x^67+860x^68+1184x^69+1232x^70+1596x^71+1385x^72+1492x^73+1199x^74+1186x^75+866x^76+774x^77+566x^78+358x^79+255x^80+162x^81+195x^82+68x^83+96x^84+20x^85+100x^86+31x^88+42x^90+8x^92+10x^94+1x^96+3x^98

The gray image is a code over GF(2) with n=288, k=14 and d=112.
This code was found by Heurico 1.16 in 20.6 seconds.