The generator matrix

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

generates a code of length 26 over GR(16,4) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+288x^70+141x^72+696x^74+372x^76+984x^78+444x^80+936x^82+168x^86+48x^88+12x^92+3x^96+3x^104

The gray image is a code over GF(4) with n=104, k=6 and d=70.
This code was found by Heurico 1.16 in 1.54 seconds.