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

generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+78x^148+285x^152+363x^156+48x^159+456x^160+576x^163+432x^164+2592x^167+405x^168+5184x^171+417x^172+3888x^175+390x^176+360x^180+345x^184+234x^188+159x^192+111x^196+33x^200+18x^204+6x^208+3x^212

The gray image is a code over GF(4) with n=228, k=7 and d=148.
This code was found by Heurico 1.16 in 2.49 seconds.