The generator matrix

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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+113x^72+172x^73+182x^74+176x^75+201x^76+148x^77+162x^78+192x^79+126x^80+212x^81+90x^82+80x^83+58x^84+44x^85+40x^86+35x^88+4x^90+7x^92+2x^94+1x^96+1x^100+1x^116

The gray image is a code over GF(2) with n=312, k=11 and d=144.
This code was found by Heurico 1.16 in 0.42 seconds.