The generator matrix

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

generates a code of length 96 over GR(16,4) who´s minimum homogenous weight is 266.

Homogenous weight enumerator: w(x)=1x^0+720x^266+636x^267+750x^268+324x^269+3240x^270+2292x^271+2226x^272+1104x^273+6744x^274+5064x^275+3960x^276+1824x^277+10188x^278+8136x^279+6303x^280+3096x^281+14508x^282+9924x^283+7854x^284+4320x^285+17460x^286+13056x^287+9249x^288+4896x^289+20136x^290+12888x^291+9513x^292+4320x^293+17244x^294+10968x^295+7434x^296+2952x^297+11892x^298+6696x^299+3939x^300+1308x^301+6084x^302+3180x^303+1557x^304+432x^305+1944x^306+792x^307+342x^308+408x^310+96x^311+48x^312+24x^314+27x^316+18x^320+6x^324+6x^332+9x^336+3x^340+3x^344

The gray image is a code over GF(4) with n=384, k=9 and d=266.
This code was found by Heurico 1.16 in 401 seconds.