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  2  1  1  1  1  1  2  1  1  1
 0  2  0  0  0  0  2  2  2 2a  0  2 2a+2 2a 2a+2 2a  2  2 2a  0 2a+2 2a  2 2a  0  2  0 2a+2 2a  2 2a+2 2a  0 2a 2a  0  2  0 2a  2 2a 2a 2a 2a  2  0  0  2  2  0  2 2a+2 2a+2  0  0  2  0  2
 0  0  2  0  0  2 2a+2 2a 2a 2a  0  0 2a 2a  0 2a 2a+2 2a 2a+2 2a+2  0  2 2a+2  0 2a+2  0 2a 2a 2a 2a 2a+2  0 2a+2  2  0 2a 2a+2 2a+2  2  0 2a  0 2a  2 2a  0 2a  0 2a 2a+2  2 2a+2  2  2  2 2a+2  0  2
 0  0  0  2  0 2a+2  0  2 2a 2a+2  2  2  2  0  2 2a+2  2  2 2a+2 2a+2 2a+2 2a  0 2a+2 2a+2  0  2 2a  0 2a+2  0 2a  2  0 2a  2 2a  0 2a 2a 2a  2  2  2 2a 2a+2 2a 2a  2 2a 2a  2 2a 2a+2 2a  2 2a  2
 0  0  0  0  2  2  2 2a+2  2  2  2 2a  0  0  0 2a  2 2a 2a+2 2a+2 2a  0 2a  2 2a 2a  0  0 2a+2 2a+2 2a+2 2a  2 2a  0 2a 2a 2a 2a+2 2a+2 2a+2  0  2  2 2a+2  2  0  2 2a+2  0 2a+2 2a+2  2 2a  2  0 2a 2a+2

generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 160.

Homogenous weight enumerator: w(x)=1x^0+93x^160+192x^164+417x^168+1272x^172+1827x^176+60x^180+60x^184+45x^188+27x^192+45x^196+27x^200+15x^204+9x^208+3x^212+3x^224

The gray image is a code over GF(4) with n=232, k=6 and d=160.
This code was found by Heurico 1.16 in 0.187 seconds.