The generator matrix

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

generates a code of length 22 over GR(16,4) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+63x^48+12x^51+357x^52+96x^54+180x^55+816x^56+192x^57+1152x^58+1080x^59+2064x^60+1728x^61+5184x^62+3240x^63+4422x^64+5184x^65+10368x^66+4860x^67+5064x^68+5184x^69+7776x^70+2916x^71+2919x^72+444x^76+186x^80+39x^84+9x^88

The gray image is a code over GF(4) with n=88, k=8 and d=48.
This code was found by Heurico 1.16 in 5 seconds.