The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  a 3a^2+2 2a^2+3a+1 a^2+3a a^2+3a+3 3a^2+2a+3  a  0 3a^2+2 a^2+3a+3 2a^2+3
 0  0 2a^2+2  0  2  2 2a+2  2 2a^2 2a+2 2a^2+2a 2a^2+2a+2 2a^2+2 2a+2
 0  0  0  2 2a^2+2 2a^2+2a+2 2a+2 2a^2 2a^2+2a+2 2a^2+2 2a+2 2a+2 2a^2+2 2a^2+2a+2

generates a code of length 14 over GR(64,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+455x^80+2240x^84+728x^88+14336x^91+31360x^92+819x^96+100352x^99+109760x^100+1512x^104+581x^112

The gray image is a code over GF(8) with n=112, k=6 and d=80.
This code was found by Heurico 1.16 in 2.6 seconds.