The generator matrix

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

generates a code of length 63 over GR(16,4) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+900x^174+708x^175+207x^176+3072x^178+2436x^179+486x^180+5388x^182+4260x^183+768x^184+7044x^186+4692x^187+744x^188+7272x^190+5016x^191+837x^192+7056x^194+4428x^195+636x^196+4308x^198+2532x^199+360x^200+1548x^202+444x^203+48x^204+276x^206+60x^207+3x^208+6x^212

The gray image is a code over GF(4) with n=252, k=8 and d=174.
This code was found by Heurico 1.16 in 17.6 seconds.