The generator matrix

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

generates a code of length 81 over Z4 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+52x^74+78x^75+86x^76+120x^77+108x^78+82x^79+55x^80+54x^81+70x^82+38x^83+38x^84+52x^85+22x^86+32x^87+16x^88+18x^89+14x^90+18x^91+16x^92+8x^93+10x^94+2x^95+8x^96+4x^97+8x^98+4x^99+4x^100+4x^102+2x^107

The gray image is a code over GF(2) with n=162, k=10 and d=74.
This code was found by Heurico 1.16 in 0.26 seconds.