The generator matrix

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

generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+48x^157+432x^158+312x^159+426x^160+552x^161+1488x^162+864x^163+1590x^164+1188x^165+2904x^166+1956x^167+2295x^168+2112x^169+4572x^170+2052x^171+3471x^172+2520x^173+4920x^174+2760x^175+4116x^176+3096x^177+5544x^178+2472x^179+3186x^180+2052x^181+3240x^182+1428x^183+1014x^184+672x^185+1356x^186+372x^187+159x^188+48x^189+120x^190+72x^191+57x^192+21x^196+9x^200+18x^204+12x^208+3x^212+6x^216

The gray image is a code over GF(4) with n=232, k=8 and d=157.
This code was found by Heurico 1.16 in 16.7 seconds.