The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  4  1  1  1  1  1  1  1  1  1  2  1  4  1
 0  2  0  6  0  6  0  2  0  6  2  0  6  0  2  0  0  0  6  6  4  6  4  6  0  6  4  6  0  6  4  6  0  2  4  2  0  6  4  2  0  6  2  2  4  0  4  4  2  0  2  0  6  2  4  0  4  4  2  4  0  4  2  4  6  6  2  2  4  6  6  2  4  4  4  0  4
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  4  4  0  4  0  4  0  4  0  4  4  4  4  4  4  4  0  0  4  4  0  4  4  0  4  4  4  4  4  4  0  4  4  0  4  4  4  0  0  0  0  0  4  4  0  0  0  0  4  0  0
 0  0  0  4  0  0  0  4  0  0  0  0  4  4  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0  4  4  4  0  4  4  4  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  4  0  4  4  0  0  0  0  4  0  4  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  4  4  4  4  0  4  0  4  0  4  0  4  4  4  4  4  0  4  4  0  0  0  0  4  4  4  0  4  4  0  0  0  4  0  4  4  4  0  0  4  4  4  4  4  0  4  4  0  4  0  4  4
 0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  4  0  0  4  4  0  4  0  4  4  0  4  0  4  0  0  4  4  0  0  4  0  4  0  4  4  0  0  0  0  4  0  4  0  4  0  0  4  4  4  4  4  4  4  4  0  4  0  0  0  0  4  4  0  0  0  4  0  4  0  0  4
 0  0  0  0  0  0  4  0  4  4  4  0  4  0  4  4  4  0  0  0  4  4  4  4  0  4  4  0  0  0  4  0  4  4  0  4  4  4  0  0  4  4  4  0  4  0  0  4  4  4  0  0  0  4  4  0  0  4  0  0  0  0  0  0  4  0  0  4  4  4  0  4  0  0  0  0  4

generates a code of length 77 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+123x^72+64x^74+128x^75+108x^76+256x^77+64x^78+128x^79+82x^80+44x^84+17x^88+8x^92+1x^144

The gray image is a code over GF(2) with n=308, k=10 and d=144.
This code was found by Heurico 1.16 in 96.4 seconds.