The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+369x^72+732x^74+882x^76+670x^78+492x^80+342x^82+309x^84+154x^86+113x^88+22x^90+8x^92+1x^96+1x^100

The gray image is a code over GF(2) with n=312, k=12 and d=144.
This code was found by Heurico 1.16 in 2.34 seconds.