The generator matrix 1 0 0 0 0 0 1 1 1 2 0 2 1 1 1 1 0 2 2 0 1 2 0 0 1 2 1 2 0 1 2 1 1 1 2 1 0 1 0 0 0 0 0 0 0 0 1 2 1 1 3 1 1 2 1 0 2 1 1 1 2 1 1 1 1 0 1 3 3 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 3 1 2 1 1 2 1 3 1 2 0 0 1 1 1 3 2 3 3 2 3 0 3 0 0 0 1 0 0 0 1 1 1 2 2 0 0 1 3 1 0 2 3 2 2 1 1 3 2 3 3 3 1 1 1 2 3 1 1 0 0 0 0 1 0 1 1 0 3 2 0 1 2 1 0 3 1 3 1 1 0 1 1 1 1 3 3 2 0 2 2 2 3 0 2 0 0 0 0 0 1 1 2 3 1 3 1 3 2 0 3 1 2 2 2 3 1 3 2 1 2 2 0 3 2 3 2 1 2 2 3 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 generates a code of length 36 over Z4 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+90x^27+206x^28+250x^29+364x^30+436x^31+455x^32+562x^33+664x^34+648x^35+728x^36+746x^37+648x^38+650x^39+512x^40+434x^41+317x^42+196x^43+138x^44+52x^45+52x^46+26x^47+8x^48+4x^49+2x^50+2x^51+1x^58 The gray image is a code over GF(2) with n=72, k=13 and d=27. This code was found by Heurico 1.16 in 14.7 seconds.