The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+204x^74+432x^75+633x^76+888x^77+1524x^78+2988x^79+2394x^80+3648x^81+5928x^82+8652x^83+6279x^84+10644x^85+13368x^86+18504x^87+12660x^88+22368x^89+21996x^90+26712x^91+15489x^92+22752x^93+18516x^94+18636x^95+8082x^96+7104x^97+6048x^98+3948x^99+1461x^100+180x^101+45x^104+42x^108+15x^112+3x^120

The gray image is a code over GF(4) with n=120, k=9 and d=74.
This code was found by Heurico 1.16 in 92.4 seconds.