Prime p₀= 10577818685675819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: crashtech
db: batch=62, k=10, 2 46 2 40 2

SPT(14)	10577786020836721	0 16 22 40 46 66 100 108 142 162 168 186 192 208	-32664839098
SPT(14)	10577790122852059	0 42 48 60 78 90 100 120 130 142 160 172 178 220	-28562823760
SPT(14)	10577797320821603	0 14 38 66 80 104 108 116 120 144 158 186 210 224	-21364854216
TPT(12)	10577805178836167	0 2 24 26 30 32 42 44 60 62 84 86	-13506839652
SPT(16)	10577813228441831	0 36 42 50 66 78 80 92 126 138 140 152 168 176 182 218	-5457233988
SPT(16)	10577817340830227	0 12 36 120 152 200 206 210 242 246 252 300 332 416 440 452	-1344845592
SPT(14)	10577834531240321	0 50 92 102 116 126 132 170 176 186 200 210 252 302	15845564502
SPT(14)	10577844283990769	0 30 32 74 104 108 128 144 164 168 198 240 242 272	25598314950
SPT(14)	10577855723536979	0 8 14 44 54 78 138 170 230 254 264 294 300 308	37037861160
SPT(14)	10577860168590901	0 58 70 106 112 120 142 186 208 216 222 258 270 328	41482915082
SPT(16)	10577861594698549	0 12 22 42 82 84 88 138 154 204 208 210 250 270 280 292	42909022730