The generator matrix

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

generates a code of length 53 over GR(16,4) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+240x^152+912x^153+360x^156+888x^157+105x^160+516x^161+72x^164+420x^165+192x^168+252x^169+48x^172+84x^173+6x^176

The gray image is a code over GF(4) with n=212, k=6 and d=152.
This code was found by Heurico 1.16 in 0.297 seconds.