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

generates a code of length 67 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+72x^57+126x^58+186x^59+233x^60+332x^61+414x^62+514x^63+558x^64+640x^65+746x^66+686x^67+761x^68+676x^69+531x^70+408x^71+367x^72+290x^73+165x^74+150x^75+114x^76+86x^77+59x^78+34x^79+13x^80+14x^81+7x^82+2x^83+2x^85+4x^87+1x^96

The gray image is a code over GF(2) with n=268, k=13 and d=114.
This code was found by Heurico 1.16 in 4.71 seconds.