The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  1  1  2  1  1 2a  1  1  1  1  1  1  1  1  1  1  1  0  1  1 2a  1  1  1  1  1  1  1  1  0 2a+2  1  1  1  1  1  1  1  1  1  1
 0  1  1  a 3a+3  0 2a+3 a+1  a  1  0 2a+3  a  1 a+1  2 a+1 a+2 2a+3  1 a+1  a  1  0 3a a+3 3a+2 2a+3  2 2a+3 3a+1  0 3a  1  1  3 2a+2  1  a  2 a+1 a+2  0 a+1  1 2a+2  1  1 a+3  3 2a+1 2a+3 2a+2  2  1  0 3a+2 2a+3
 0  0 2a+2  0  0  0  2  2  2  2  2  2 2a+2 2a+2 2a  2 2a 2a+2 2a+2  0 2a+2 2a+2 2a 2a+2 2a  0  0  2  2 2a  2  0 2a 2a  0  2 2a 2a 2a 2a+2 2a+2  0 2a+2 2a+2 2a+2  0  0  0  0  2  0  0 2a 2a 2a  0 2a 2a+2
 0  0  0  2  0  2 2a+2  0  2 2a+2  2  0 2a 2a+2  0 2a+2  0  0 2a 2a  2  2 2a+2 2a+2  0 2a 2a+2  0  0  2 2a  2  2  0 2a+2  0  2 2a+2 2a+2  2  0  2  2 2a+2  2 2a 2a  2 2a+2  2 2a+2 2a+2 2a+2 2a+2  0 2a+2 2a+2 2a+2
 0  0  0  0 2a+2 2a+2  2 2a+2 2a  0 2a+2  2  2 2a  2 2a 2a  2 2a+2 2a+2  0 2a+2 2a+2  2  0 2a+2  0 2a+2 2a  0  2 2a 2a 2a 2a 2a  2  0 2a 2a  2 2a  0  0  2  0 2a 2a+2  2 2a 2a 2a+2 2a  0  0  0  2 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+333x^160+72x^161+144x^163+1095x^164+372x^165+492x^167+1473x^168+456x^169+528x^171+2064x^172+744x^173+936x^175+2382x^176+792x^177+768x^179+1821x^180+516x^181+204x^183+801x^184+120x^185+147x^188+39x^192+33x^196+18x^200+18x^204+9x^208+3x^212+3x^220

The gray image is a code over GF(4) with n=232, k=7 and d=160.
This code was found by Heurico 1.16 in 1.33 seconds.