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

generates a code of length 61 over GR(16,4) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+264x^175+180x^176+324x^177+192x^178+564x^179+195x^180+360x^181+72x^182+540x^183+42x^184+192x^185+24x^186+288x^187+54x^188+168x^189+48x^190+72x^191+126x^192+60x^193+24x^194+108x^195+39x^196+48x^197+24x^198+84x^199+3x^208

The gray image is a code over GF(4) with n=244, k=6 and d=175.
This code was found by Heurico 1.16 in 0.093 seconds.