The generator matrix 1 0 0 0 1 1 1 0 1 0 0 2a+3 2 1 0 0 1 0 3a+3 2a+3 a+1 0 0 0 1 1 3a+3 2a+2 generates a code of length 7 over GR(16,4) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+234x^12+240x^13+1152x^15+1557x^16+1008x^17+5760x^18+6912x^19+5040x^20+9552x^21+17280x^22+10368x^23+4914x^24+1488x^25+30x^28 The gray image is a code over GF(4) with n=28, k=8 and d=12. This code was found by Heurico 1.16 in 0.5 seconds.