The generator matrix

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

generates a code of length 29 over GR(64,4) who´s minimum homogenous weight is 176.

Homogenous weight enumerator: w(x)=1x^0+98x^176+112x^182+672x^183+1141x^184+1344x^189+2352x^190+6048x^191+3591x^192+18816x^197+16464x^198+28896x^199+11305x^200+65856x^205+38416x^206+50400x^207+15414x^208+679x^216+448x^224+91x^232

The gray image is a code over GF(8) with n=232, k=6 and d=176.
This code was found by Heurico 1.16 in 5.9 seconds.