The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  4  2  4  1  0  1  4  2  4  2  2  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  8  8  0 12 12  4 12  4  8 12 12  8  4 12  4  0  8  0 12  4  0  0  4 12  8 12 12  4 12  8  0  8  8
 0  0 12  0  0  0  4 12  4  4  4  8  0  8 12  8  0  0  8  4 12  4  4  8  4  8 12 12  4  0  0  0  4 12 12  4  8  4 12 12  8  8 12  4  4  0
 0  0  0 12  0  4  4  4  8  4  0 12  4  8  8  0  4  8  8  0 12  0  8 12 12  8  0 12 12  4 12  8  8 12 12 12 12  4  4 12  0  4  0  0  0 12
 0  0  0  0 12  4  0  4  4  8  0  8 12  0  8 12  8  8  4  0  8  8  4  4 12 12 12 12  8  8  4  0  8 12 12  4  0  4 12  0 12 12  4  4  4  8
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  0  8  8  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  8  8  8  0  0  8  0  0  0  8  8  8

generates a code of length 46 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+52x^37+105x^38+212x^39+252x^40+306x^41+505x^42+920x^43+1786x^44+2598x^45+2913x^46+2620x^47+1825x^48+964x^49+476x^50+276x^51+186x^52+160x^53+85x^54+64x^55+41x^56+10x^57+11x^58+4x^59+4x^60+6x^61+1x^62+1x^72

The gray image is a code over GF(2) with n=368, k=14 and d=148.
This code was found by Heurico 1.16 in 4.67 seconds.