The generator matrix

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

generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+252x^86+240x^87+27x^88+144x^90+27x^92+108x^94+144x^95+72x^98+9x^100

The gray image is a code over GF(4) with n=120, k=5 and d=86.
This code was found by Heurico 1.16 in 0.156 seconds.