Prime p₀= 2367904389166147859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Xenon
db: batch=81, k=10, 2 16 2 10 2

SPT(18)	2367903232815168431	0 8 32 38 92 102 120 126 140 168 182 188 206 216 270 276 300 308	-1156350979428
STPT(10)	2367903652820765177	0 2 30 32 42 44 54 56 84 86	-736345382682
STPT(10)	2367903848678753387	0 2 30 32 72 74 114 116 144 146	-540487394472
SPT(16)	2367904051919008039	0 12 30 34 48 82 90 100 132 142 150 184 198 202 220 232	-337247139820
SPT(16)	2367904152951188843	0 8 26 36 110 116 138 146 180 188 210 216 290 300 318 326	-236214959016
SPT(16)	2367904363363109819	0 14 24 30 50 62 80 84 128 132 150 162 182 188 198 212	-25803038040
SPT(18)	2367904543625041063	0 4 40 60 70 100 166 196 234 286 324 354 420 450 460 480 516 520	154458893204
STPT(10)	2367904942816627787	0 2 24 26 42 44 60 62 84 86	553650479928
STPT(10)	2367905023651277021	0 2 6 8 18 20 30 32 36 38	634485129162
SPT(16)	2367905601094983487	0 30 72 82 90 94 142 154 180 192 240 244 252 262 304 334	1211928835628
SPT(16)	2367906011513451379	0 10 12 22 40 54 70 90 154 174 190 204 222 232 234 244	1622347303520