Prime p₀= 2239802046001142237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2239801039450918721	0 8 68 72 98 110 120 140 198 218 228 240 266 270 330 338	-1006550223516
STPT(10)	2239801310325736679	0 2 18 20 30 32 42 44 60 62	-735675405558
SPT(16)	2239801360286256037	0 10 24 46 82 84 144 154 162 172 232 234 270 292 306 316	-685714886200
STPT(10)	2239801654732048607	0 2 54 56 72 74 90 92 144 146	-391269093630
STPT(10)	2239801719476781371	0 2 6 8 18 20 30 32 36 38	-326524360866
TPT(14)	2239801977160693469	0 2 18 20 102 104 138 140 192 194 210 212 240 242	-68840448768
SPT(16)	2239802959057548539	0 32 74 92 114 120 128 132 140 144 152 158 180 198 240 272	913056406302
STPT(10)	2239803210725117171	0 2 36 38 78 80 120 122 156 158	1164723974934
SPT(16)	2239803666214155043	0 6 28 34 48 66 88 120 184 216 238 256 270 276 298 304	1620213012806
STPT(10)	2239804172913503837	0 2 90 92 132 134 174 176 264 266	2126912361600
SPT(16)	2239804210099876997	0 26 90 104 126 146 174 192 194 212 240 260 282 296 360 386	2164098734760