The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+33x^88+192x^90+24x^92+3x^96+3x^120

The gray image is a code over GF(4) with n=120, k=4 and d=88.
This code was found by Heurico 1.16 in -3.62e-008 seconds.