The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+268x^54+692x^56+1090x^58+1465x^60+1674x^62+1919x^64+2050x^66+2067x^68+1752x^70+1527x^72+964x^74+553x^76+248x^78+84x^80+16x^82+10x^84+2x^86+1x^88+1x^116

The gray image is a code over GF(2) with n=132, k=14 and d=54.
This code was found by Heurico 1.16 in 73.1 seconds.