The generator matrix

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

generates a code of length 62 over GR(16,4) who´s minimum homogenous weight is 178.

Homogenous weight enumerator: w(x)=1x^0+540x^178+339x^180+816x^182+339x^184+648x^186+81x^188+432x^190+45x^192+444x^194+171x^196+192x^198+39x^200+3x^204+6x^212

The gray image is a code over GF(4) with n=248, k=6 and d=178.
This code was found by Heurico 1.16 in 15.8 seconds.