The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+170x^73+194x^74+288x^75+232x^76+246x^77+184x^78+180x^79+126x^80+74x^81+45x^82+50x^83+53x^84+54x^85+42x^86+44x^87+5x^88+32x^89+7x^90+14x^91+7x^92

The gray image is a code over GF(2) with n=312, k=11 and d=146.
This code was found by Heurico 1.16 in 0.352 seconds.