The generator matrix

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

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+1146x^172+3060x^176+3795x^180+2880x^184+2808x^188+1707x^192+882x^196+96x^200+6x^204+3x^212

The gray image is a code over GF(4) with n=244, k=7 and d=172.
This code was found by Heurico 1.16 in 1.03 seconds.