The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+69x^58+140x^59+208x^60+240x^61+312x^62+338x^63+506x^64+600x^65+636x^66+792x^67+700x^68+722x^69+676x^70+598x^71+442x^72+298x^73+248x^74+174x^75+136x^76+102x^77+84x^78+64x^79+43x^80+22x^81+21x^82+6x^83+12x^84+1x^90+1x^98

The gray image is a code over GF(2) with n=272, k=13 and d=116.
This code was found by Heurico 1.16 in 4.73 seconds.