The generator matrix 1 1 1 1 1 1 2 1 1 2 4 1 0 1 2 2 2 1 1 0 12 0 12 0 12 12 0 4 12 12 12 4 12 12 12 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 8 8 8 generates a code of length 19 over Z16 who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+54x^12+64x^14+32x^15+209x^16+256x^17+1192x^18+448x^19+1257x^20+256x^21+144x^22+32x^23+126x^24+8x^26+16x^28+1x^36 The gray image is a code over GF(2) with n=152, k=12 and d=48. This code was found by Heurico 1.16 in 0.0561 seconds.