The generator matrix

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

generates a code of length 11 over GR(64,4) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+2240x^63+875x^64+1792x^70+31360x^71+5320x^72+86016x^77+12544x^78+109760x^79+12068x^80+168x^88

The gray image is a code over GF(8) with n=88, k=6 and d=63.
This code was found by Heurico 1.16 in 1.35 seconds.