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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1  0  1  1  2  1  1  2  1  1  1  1  1
 0  2  0  2  0  0  2  6  4  4  2  6  0  4  2  2  4  2  4  6  6  4  0  6  0  6  2  0  0  0  2  2  0  2  4  6  2  4  2  4  6  2  4  6  4  0  6  0  0  0  2  0  2  4  0  6  6  4  0  2  4  0  0  2  2  0  2  6  4  2  4  2  6  4  6  2  6  6
 0  0  2  2  0  6  2  4  0  2  2  0  0  2  6  0  4  6  2  0  6  2  4  0  4  6  4  6  4  2  2  0  0  2  2  0  6  0  4  6  6  4  4  0  6  4  2  6  2  0  2  2  6  0  0  4  4  0  2  4  4  2  6  6  4  4  0  4  6  2  6  4  0  0  4  0  2  0
 0  0  0  4  0  0  4  0  0  4  0  4  4  4  0  4  4  0  0  4  4  4  0  0  4  4  4  0  4  4  0  0  0  0  0  0  4  4  0  0  0  4  0  4  4  4  4  0  4  0  0  0  0  0  4  4  0  4  0  0  0  4  4  4  4  0  4  4  0  4  0  0  4  4  0  4  4  0
 0  0  0  0  4  0  0  0  4  4  4  4  0  4  4  4  0  0  4  0  4  0  0  4  4  4  0  4  4  0  0  4  0  0  0  0  0  0  0  4  0  0  0  0  4  0  0  0  4  4  4  4  4  4  4  4  4  4  0  4  0  0  0  4  4  0  4  0  0  4  4  4  0  0  0  0  0  4
 0  0  0  0  0  4  4  4  4  0  4  0  4  4  0  4  0  4  0  0  0  0  4  0  4  4  4  4  0  4  0  4  4  4  4  0  0  0  4  4  0  0  0  4  4  4  4  0  0  4  0  0  4  0  4  4  0  0  4  4  0  0  4  4  4  0  0  4  0  0  0  0  0  4  0  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+64x^72+88x^74+64x^75+99x^76+128x^77+188x^78+64x^79+190x^80+50x^82+52x^84+24x^86+9x^88+2x^90+1x^148

The gray image is a code over GF(2) with n=312, k=10 and d=144.
This code was found by Heurico 1.16 in 0.282 seconds.