The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1
 0  1  0  1  a a^2 3a+3 a^2+3a a^2+3a+3 a^2+2a+1 2a^2+2 2a^2+3
 0  0  1 a^2+2a+1  a 3a^2+3a+2  1 a^2+3a+3 2a^2+3a+1 a^2  3 a^2+a+3

generates a code of length 12 over GR(64,4) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+2016x^70+1680x^71+70x^72+2688x^77+28224x^78+10080x^79+252x^80+75264x^84+18816x^85+98784x^86+24080x^87+42x^88+147x^96

The gray image is a code over GF(8) with n=96, k=6 and d=70.
This code was found by Heurico 1.16 in 1.5 seconds.