The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 0 1 1 2a 1 1 1 2 0 2a+2 1 1 1 1 1 1 1 2a 1 1 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1 1 0 2 1 1 1 0 2a 1 1 1 2a 1 1 1 2 2a+2 1 1 1 2a 2a+2 1 1 1 1 1 1 0 1 1 1 1 2 1 0 2 1 1 0 1 0 0 2 2a+2 1 3a+2 3a+3 1 a 1 2a+3 2a+3 3a+3 a+3 1 a+1 a 1 3a+2 2a 2a+2 1 2 1 1 a+3 0 3a+3 3 3 2 1 3a+3 a+3 a+2 2a+1 3a+2 a 3a+1 2a 1 3a+3 2a+1 1 a 2a+1 3a+1 a+2 3 3a+1 1 1 3a+2 2a+3 3 1 1 2a 3a+1 3a+3 1 2 2 0 1 2 a+2 2a+1 3 1 1 3a+1 0 3 a+3 2a+3 a+3 1 2 a+2 0 3a+1 1 2 1 1 0 3a+2 0 0 1 1 3a+2 3a+3 3 2a+3 2a+1 3a+3 0 2a+1 a+2 2 a+1 a a 2a+2 a 3a+3 a+3 3a+1 2a a+1 1 3a+2 3a 2a+2 3a+2 3a+1 0 3 3a+1 3a+1 3a+2 3 2a+1 a+2 3a+2 2a+2 0 2a+1 2a+3 a+2 a+1 3 1 2a+2 a+2 3a 2a+1 2a+3 3a a 3a+3 1 3a+1 2a+1 2 3 a+1 1 3a+1 a 2 2a+3 0 1 3a 3a+3 3a+1 2a+2 2 2a+1 a+2 2a+1 2 3a a+3 3 2a+3 3a 3a+2 1 a+2 a+1 3a+3 3a+3 3a a+3 0 0 0 2a+2 0 0 2a+2 2a+2 2a+2 2 2a 2 0 2a 2 0 2a 0 2a+2 2a 2a 2 2a 2 2a+2 0 2a 2a+2 2a 0 2a+2 0 2a 0 2a+2 2a 2 2a+2 2 2 2 0 2a+2 2 0 0 2a 2 2a 0 2a 0 2a+2 2 2a+2 2 2a 2a 2 2 2a+2 0 2 2 2a+2 2a 2a 2 2a+2 0 2a+2 2a+2 0 2 2a 0 0 2 2a 2 0 2a 2a+2 2a 2a+2 2a+2 0 2a+2 2 2 generates a code of length 90 over GR(16,4) who´s minimum homogenous weight is 258. Homogenous weight enumerator: w(x)=1x^0+768x^258+648x^259+147x^260+1704x^262+1344x^263+225x^264+1860x^266+1080x^267+201x^268+1488x^270+984x^271+129x^272+1368x^274+828x^275+132x^276+696x^278+744x^279+117x^280+744x^282+264x^283+21x^284+372x^286+192x^287+42x^288+204x^290+60x^291+3x^292+12x^294+6x^296 The gray image is a code over GF(4) with n=360, k=7 and d=258. This code was found by Heurico 1.16 in 5.46 seconds.