The generator matrix

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

generates a code of length 76 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+200x^72+282x^74+194x^76+178x^78+77x^80+48x^82+32x^84+2x^86+2x^88+2x^90+2x^100+4x^104

The gray image is a code over GF(2) with n=304, k=10 and d=144.
This code was found by Heurico 1.16 in 71.7 seconds.