The generator matrix

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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+174x^172+468x^173+435x^176+1524x^177+573x^180+1824x^181+864x^184+2784x^185+1008x^188+2916x^189+627x^192+1956x^193+225x^196+744x^197+39x^200+72x^201+54x^204+33x^208+24x^212+27x^216+6x^220+6x^224

The gray image is a code over GF(4) with n=248, k=7 and d=172.
This code was found by Heurico 1.16 in 80.8 seconds.