The generator matrix 1 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 2a 2a+2 1 1 1 1 2a 1 1 1 1 1 1 1 0 1 0 0 2 1 3 1 a 3a+3 3a 2a+3 1 a+1 3a+3 3a+1 1 1 a 2a+1 2a+1 2a+2 1 3a+2 a 3a+2 a+3 a+1 3a+1 2a+2 0 0 1 0 2a+3 1 2a+2 2a+3 3a+2 a 2a+2 3a+1 2a+1 2a+3 a+2 2a 3a+1 1 3 a+2 3a+2 2a 3a+2 3a a+1 0 3 0 a+1 3a+2 0 0 0 1 3a+3 2 3a+1 3a+1 2a+2 2a+1 a+1 3a+1 2a+3 a+3 2a+2 2 2a+1 2a+3 3a 0 a+3 2a+1 3a+1 3 2a+1 2a+3 2a 3a+1 2a+3 3 generates a code of length 30 over GR(16,4) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+600x^78+828x^79+924x^80+444x^81+2568x^82+2280x^83+1734x^84+912x^85+5328x^86+3912x^87+3567x^88+2088x^89+8976x^90+6048x^91+4338x^92+2064x^93+8088x^94+4380x^95+2364x^96+636x^97+2088x^98+984x^99+354x^100+21x^104+6x^108+3x^112 The gray image is a code over GF(4) with n=120, k=8 and d=78. This code was found by Heurico 1.16 in 109 seconds.