The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 1 1 1 2 0 2 2 0 0 1 1 1 1 1 2 2 1 2 1 1 1 0 1 1 2 1 1 1 1 2 2 1 1 2 2 1 1 1 1 2 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 2 2 2 1 1 2 1 0 2 1 0 0 1 0 0 1 1 1 0 0 1 3 1 1 0 2 3 2 3 1 0 1 0 1 1 2 3 0 1 1 1 1 0 2 2 2 3 1 1 2 1 1 3 2 0 2 2 2 3 2 1 3 2 3 0 1 1 2 2 1 0 1 0 1 2 0 1 1 2 0 1 3 3 0 2 2 2 3 1 1 2 1 3 2 0 0 1 1 1 0 1 0 1 3 0 2 3 1 1 3 0 2 2 1 3 1 0 3 3 2 0 3 0 3 1 0 1 1 3 3 3 0 0 2 2 1 0 0 1 1 3 2 1 0 0 3 1 1 1 3 2 1 2 1 2 1 1 3 3 3 1 0 1 3 1 0 1 1 1 2 3 0 3 1 1 3 0 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 generates a code of length 83 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+140x^72+234x^74+434x^76+380x^78+542x^80+434x^82+458x^84+368x^86+366x^88+242x^90+230x^92+96x^94+97x^96+34x^98+26x^100+4x^102+6x^104+4x^108 The gray image is a code over GF(2) with n=166, k=12 and d=72. This code was found by Heurico 1.16 in 3.81 seconds.