The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 a 3a+3 0 1 3a+2 2a+3 a+1 3a+2 2a+2 3a+2 a+2 a+3 a+1 3a+3 0 0 0 1 3a+3 a 1 a 1 3a+3 a a+2 1 3 3 3a+2 3a+2 0 2a+2 2 0 0 0 2 0 2 0 2 2a+2 2a+2 2a+2 0 2a+2 0 2 2 2a+2 0 2a 0 0 0 0 2 2a+2 2a 2 0 2a+2 2a 2a 2 0 2a 2 2 2a+2 2a+2 generates a code of length 19 over GR(16,4) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+126x^44+24x^45+288x^46+624x^47+834x^48+288x^49+1680x^50+1728x^51+3234x^52+1296x^53+4752x^54+6048x^55+8676x^56+2592x^57+7344x^58+7872x^59+8544x^60+1944x^61+4368x^62+2160x^63+993x^64+90x^68+24x^72+6x^76 The gray image is a code over GF(4) with n=76, k=8 and d=44. This code was found by Heurico 1.16 in 3.78 seconds.