The generator matrix

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

generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 221.

Homogenous weight enumerator: w(x)=1x^0+564x^221+696x^222+732x^223+600x^224+2016x^225+2052x^226+1548x^227+1119x^228+2688x^229+2988x^230+2244x^231+1449x^232+4128x^233+3468x^234+2604x^235+1683x^236+4404x^237+3312x^238+2292x^239+1554x^240+3576x^241+3444x^242+1980x^243+1296x^244+3420x^245+2412x^246+1680x^247+549x^248+1668x^249+1284x^250+600x^251+351x^252+492x^253+288x^254+108x^255+87x^256+84x^257+24x^258+36x^259+15x^260

The gray image is a code over GF(4) with n=316, k=8 and d=221.
This code was found by Heurico 1.16 in 26.5 seconds.