The generator matrix

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

generates a code of length 11 over GR(64,4) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+392x^70+224x^71+14x^72+2744x^78+672x^79+49x^80

The gray image is a code over GF(8) with n=88, k=4 and d=70.
This code was found by Heurico 1.16 in 0.000704 seconds.