The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2a 1 1 2a 1 1 2 1 1 1 1 1 1 2a 1 1 1 0 1 1 1 2a 1 1 2a 1 2a+2 2a 0 1 1 1 0 1 0 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 0 2 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 3a 3a+2 1 0 2a+2 2a+3 3a+1 1 3a+3 2a+1 1 a a+2 a+1 2a a 3a+1 1 a+2 a 3a+3 1 2a 3a+1 3a+3 1 a+2 2a+3 1 2 2a 1 1 2a+3 3a a+3 1 1 1 a+1 2a+3 1 2a+3 3a+1 a+3 3a+3 2a 0 3a 1 3 2a+1 3a+3 2a+1 2a+3 1 2 a+1 a 2a+2 3 3a 3 1 2a a+3 3a+1 1 2a 1 a 3a 0 2a 0 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 3 a 0 2a+3 1 1 a+3 a a+2 a+2 3a+3 2 a+1 2a+1 2a+3 a+1 2a a+2 3a+1 2a+3 2 a+3 3a+1 3a+1 2a+3 3a+3 a+1 0 a+2 3a+1 1 2a+1 2a 3 2a+3 a 3 2 2 2a+1 2a+1 3a+1 3a+2 3a+3 2 3 3a 2a+1 0 3a+2 3a+1 3a+3 3 3a+2 a+3 0 1 a 3 2a 3 2 3a 3 2a+3 3 a+2 a+2 a+3 3a 0 2a 3a a+1 0 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 1 2a 2a 2a 1 2a+3 3a+2 a+3 2 3a+3 a 3a+3 3a+1 a+3 a+2 0 3a+1 2a+3 2a+3 3a+2 3 a+1 a+2 3a+1 a 3 3a+2 3 0 0 2a+1 2a a+2 3a+2 3a+3 3a+1 3a+3 3a+3 1 2a+1 0 2a+3 3a+2 2a+1 a+2 2a+2 3 2a+2 a 1 3 a a 3 3a+3 2a a+1 3a+2 a+1 3 3a+1 2a+1 3a+2 3a 3a+3 3a+2 a a a+2 3a a+3 2 2a+1 a+1 3a+2 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2 2a+2 2a 2a 2a+2 0 2 2 2 2a 2 2 2a+2 2a 2 2a 0 0 2a 2a 0 0 0 2 2 2a+2 2 2a+2 2 2a+2 2a 2a 2a+2 0 2a 0 0 0 2a+2 0 2 2 2a+2 2a+2 2 2a+2 2 0 2a+2 2a 2a+2 2 0 2a 2 2 2a 2a 0 2a 2a+2 2 0 2 0 2a+2 0 2 2a 2 2a+2 2a 0 0 2 generates a code of length 90 over GR(16,4) who´s minimum homogenous weight is 248. Homogenous weight enumerator: w(x)=1x^0+249x^248+492x^249+420x^250+1020x^251+1815x^252+2784x^253+1560x^254+2592x^255+4071x^256+6108x^257+3336x^258+4740x^259+6687x^260+9912x^261+4692x^262+6864x^263+10185x^264+12876x^265+7140x^266+8820x^267+11796x^268+16524x^269+7500x^270+10464x^271+12933x^272+17040x^273+7920x^274+9324x^275+10788x^276+13476x^277+5964x^278+6720x^279+8445x^280+8832x^281+3120x^282+3552x^283+3606x^284+3444x^285+1116x^286+1008x^287+894x^288+636x^289+240x^290+192x^291+132x^292+36x^293+30x^296+15x^300+18x^304+9x^308+3x^312+3x^320 The gray image is a code over GF(4) with n=360, k=9 and d=248. This code was found by Heurico 1.16 in 348 seconds.