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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+828x^175+537x^176+2364x^179+792x^180+2736x^183+864x^184+2424x^187+654x^188+1800x^191+612x^192+1416x^195+498x^196+636x^199+114x^200+84x^203+21x^204+3x^220

The gray image is a code over GF(4) with n=248, k=7 and d=175.
This code was found by Heurico 1.16 in 1.13 seconds.