The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 1 2 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 generates a code of length 41 over Z4 who´s minimum homogenous weight is 26. Homogenous weight enumerator: w(x)=1x^0+74x^26+189x^28+284x^30+417x^32+674x^34+1261x^36+2199x^38+3024x^40+3076x^42+2293x^44+1321x^46+680x^48+410x^50+251x^52+121x^54+68x^56+22x^58+6x^60+11x^62+2x^64 The gray image is a code over GF(2) with n=82, k=14 and d=26. This code was found by Heurico 1.16 in 35.1 seconds.