The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 2 1 1 0 1 1 1 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2a+3 1 0 2a+1 1 a+1 2a+3 2 a+3 2a 2a+2 0 a 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a+2 2a+2 2 2a 2a 2a 2 0 0 2a+2 2 2a+2 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a 2 2a+2 2a+2 2a+2 2a+2 2 2a 2a+2 2a+2 2a 2a 2 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 0 2 2 2a 2 0 2a 2a 2 0 0 2a+2 2a+2 generates a code of length 28 over GR(16,4) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+234x^72+96x^73+156x^74+645x^76+576x^77+336x^78+1353x^80+1536x^81+936x^82+2385x^84+2496x^85+1104x^86+2001x^88+1440x^89+540x^90+381x^92+102x^96+39x^100+21x^104+6x^108 The gray image is a code over GF(4) with n=112, k=7 and d=72. This code was found by Heurico 1.16 in 0.562 seconds.