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

generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+126x^152+339x^156+405x^160+465x^164+192x^165+366x^168+1728x^169+414x^172+5184x^173+441x^176+5184x^177+348x^180+324x^184+348x^188+216x^192+171x^196+96x^200+24x^204+9x^208+3x^220

The gray image is a code over GF(4) with n=232, k=7 and d=152.
This code was found by Heurico 1.16 in 2.55 seconds.