The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1 X+2 3X+2 X+2 X+2  1 2X  1  2 2X+2  1  1  1  1 X+2  0  2  1  1 X+2  2  1  1  1  1  1  1  1  1  2  0  1  2 3X+2  X  1  1 3X+2  1  2  X  1 3X+2 2X 3X+2 2X+2  1  1  1 3X  1  1  1 X+2  1  2  2  0  1  1 3X  X  1  1  1 3X  0  1
 0  1  0  0  X  3 2X+1 2X+2  1 3X+3 X+2 3X+1  1  1 3X  2  3  1 3X+2 2X+2  1  0 X+1 X+1 X+2  1  X  1  X X+3  1 3X+2  X  X 3X+1  0  1 3X+3  1  1  1  0 2X  1  1  1  1 3X 2X 2X  1  1 X+1 3X 3X  1  1 X+3 3X  2 2X+2 3X+2 3X 2X+3  1  1  X 2X 3X+2  X X+3  1  1 2X+1 X+1 2X  1  1  2
 0  0  1  0  0  2  1  3  3 2X 2X+1  1  0  3  1  1  2 3X+1 X+2  1 2X+1 X+3  2 2X+1 2X+2  X 2X  X X+1 2X+1 3X+3  1 2X 3X+3 3X+2 2X+2 2X+1 3X+2 2X 3X+3 X+3  1 3X 3X+3 3X+2 2X+3 3X+1 X+1 2X X+1 3X 2X+1 3X+1  1  2 3X+2  0 X+2  X  X  1 X+1 X+3 3X X+1 3X+1  1  1 3X X+2  0  3 2X+2 2X 3X+1 2X+2 2X+3  2 X+2
 0  0  0  1  1 X+3  2 X+1 X+3  X 3X 2X+1 X+3 2X 2X+3  0  X  3 X+1 2X+3  X  X X+1 3X X+2  0  1 3X+1 2X+1 3X+3  1  2  0 2X+2 2X 3X+3  X 2X+3  2 X+3 3X X+3 3X 3X+1 3X X+1 2X 3X+2  1 X+3 2X+1 X+2 3X 2X  1 3X+2  3 X+3 X+2 2X  3 3X+1  0 2X+2 X+1  1 3X+1 3X  1 2X+1 2X X+2  3 X+1 2X+3 3X+3 X+1  3  X
 0  0  0  0  2  0  0  0  0  2  2  2  2  2 2X+2 2X  2  0  2  2  2 2X+2 2X  0 2X  0 2X 2X  0 2X+2 2X+2  2 2X+2  0 2X 2X 2X  2 2X 2X  0 2X  2  2  0  0 2X+2 2X+2 2X+2 2X+2 2X+2  0 2X 2X 2X+2 2X+2  0  0  2  0 2X+2 2X  2  2  0  0 2X 2X+2  0 2X+2 2X 2X 2X+2 2X+2  2 2X+2 2X+2  2 2X

generates a code of length 79 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+174x^70+1366x^71+3042x^72+5816x^73+10016x^74+15648x^75+20567x^76+26408x^77+30701x^78+33276x^79+31489x^80+28410x^81+21107x^82+14924x^83+9097x^84+5028x^85+2643x^86+1470x^87+580x^88+212x^89+91x^90+32x^91+19x^92+12x^93+2x^94+4x^96+2x^97+2x^98+4x^99+1x^100

The gray image is a code over GF(2) with n=632, k=18 and d=280.
This code was found by Heurico 1.16 in 703 seconds.