The generator matrix

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

generates a code of length 26 over GR(16,4) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+504x^66+792x^67+255x^68+480x^69+2364x^70+2388x^71+774x^72+1188x^73+5748x^74+5484x^75+2154x^76+2484x^77+9036x^78+8244x^79+3162x^80+2988x^81+8004x^82+5388x^83+771x^84+540x^85+1992x^86+744x^87+30x^88+12x^92+9x^96

The gray image is a code over GF(4) with n=104, k=8 and d=66.
This code was found by Heurico 1.16 in 5.91 seconds.