The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+65x^56+100x^57+218x^58+322x^59+525x^60+828x^61+1116x^62+1470x^63+1833x^64+2448x^65+2825x^66+3096x^67+3163x^68+3010x^69+2980x^70+2450x^71+1803x^72+1464x^73+1087x^74+710x^75+436x^76+300x^77+195x^78+126x^79+101x^80+36x^81+22x^82+16x^83+8x^84+6x^85+1x^86+2x^87+1x^88+4x^90

The gray image is a code over GF(2) with n=272, k=15 and d=112.
This code was found by Heurico 1.16 in 47.2 seconds.