The generator matrix

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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+343x^72+450x^74+648x^76+612x^78+750x^80+544x^82+452x^84+156x^86+82x^88+14x^90+20x^92+16x^94+5x^96+3x^104

The gray image is a code over GF(2) with n=316, k=12 and d=144.
This code was found by Heurico 1.16 in 79.6 seconds.