The generator matrix

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

generates a code of length 24 over GR(16,4) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+408x^66+228x^67+228x^68+480x^69+624x^70+228x^71+174x^72+408x^74+204x^75+228x^76+288x^77+480x^78+108x^79+9x^80

The gray image is a code over GF(4) with n=96, k=6 and d=66.
This code was found by Heurico 1.16 in 0.171 seconds.