The generator matrix

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

generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 225.

Homogenous weight enumerator: w(x)=1x^0+516x^225+744x^226+288x^227+42x^228+1140x^229+1272x^230+504x^231+57x^232+1272x^233+1428x^234+408x^235+57x^236+1380x^237+1344x^238+504x^239+30x^240+1248x^241+804x^242+300x^243+33x^244+624x^245+624x^246+132x^247+18x^248+396x^249+420x^250+108x^251+6x^252+264x^253+216x^254+60x^255+3x^256+72x^257+60x^258+3x^260+3x^268+3x^280

The gray image is a code over GF(4) with n=316, k=7 and d=225.
This code was found by Heurico 1.16 in 2.64 seconds.