The generator matrix

1 0 0 0 0 1 1 1 2 0 1 1 1 0 1 0 1 1 2 1 0 1 2 1 0 1 2 2 1 0 0 1 2 1 2 2 1 2 1 1 0 2 1 0 1 1 2 0 2 1 2 1 2 1 2 2 2 1 1 2 1 2 1 2 2 0 1 1 1 1 1 1 1 1 1 1 2 2 1 2 0 0 1
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 3 1 1 1 3 1 1 1 1 3 2 1 2 2 2 0 2 2 1 1 1 2 1 2 1 3 2 1 2 1 3 2 1 1 2 2 2 0 1 1 1 1 0 3 0 2 1 3 0 2 0 3 3 1 2 2 3 0 2 2 1 2 0 0
0 0 1 0 0 0 1 1 1 2 0 2 1 1 3 1 2 2 0 3 1 1 3 2 1 3 1 0 1 1 1 3 2 0 2 1 3 3 0 3 1 0 0 3 2 0 1 1 3 1 0 3 3 1 1 2 1 0 0 2 2 0 2 0 2 0 3 0 3 1 2 3 1 1 0 0 2 1 3 2 2 0 0
0 0 0 1 0 1 2 3 1 1 2 1 1 2 2 3 3 2 3 1 1 0 3 0 2 0 0 0 1 1 3 0 1 1 1 0 2 1 1 3 3 1 0 2 1 3 3 1 0 0 1 1 2 3 3 1 3 2 0 0 2 1 3 0 1 2 3 2 2 1 1 2 1 0 1 2 0 1 3 2 1 1 2
0 0 0 0 1 2 0 2 2 1 1 3 1 3 3 1 1 2 1 0 3 3 0 3 1 2 0 3 3 2 2 3 0 3 1 2 0 3 0 3 3 1 1 2 1 0 2 0 1 0 2 2 2 2 0 1 1 3 1 2 0 0 1 1 2 3 2 3 2 2 2 1 2 1 2 2 1 1 2 2 0 3 3

generates a code of length 83 over Z4 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+112x^76+164x^78+197x^80+148x^82+123x^84+62x^86+46x^88+52x^90+26x^92+32x^94+24x^96+16x^98+11x^100+6x^102+4x^104

The gray image is a code over GF(2) with n=166, k=10 and d=76.
This code was found by Heurico 1.10 in 0.078 seconds.