The generator matrix

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

generates a code of length 66 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+74x^56+136x^57+256x^58+446x^59+554x^60+804x^61+1052x^62+1216x^63+1360x^64+1466x^65+1646x^66+1600x^67+1424x^68+1206x^69+969x^70+806x^71+507x^72+316x^73+187x^74+128x^75+89x^76+28x^77+45x^78+26x^79+22x^80+10x^81+3x^82+2x^83+1x^84+2x^85+2x^86

The gray image is a code over GF(2) with n=264, k=14 and d=112.
This code was found by Heurico 1.16 in 12 seconds.