The generator matrix

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

generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+252x^144+384x^145+540x^146+828x^147+1509x^148+1728x^149+1932x^150+1656x^151+2643x^152+2496x^153+2700x^154+2592x^155+3999x^156+3468x^157+3048x^158+3252x^159+4281x^160+3972x^161+3480x^162+3096x^163+4122x^164+3180x^165+2544x^166+1932x^167+2109x^168+1452x^169+1008x^170+444x^171+519x^172+216x^173+108x^174+24x^175+15x^176+3x^180+3x^192

The gray image is a code over GF(4) with n=212, k=8 and d=144.
This code was found by Heurico 1.16 in 14.3 seconds.