Prime p₀= 2323782867571444421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2323781601519262387	0 42 52 94 126 150 156 184 192 220 226 250 282 324 334 376	-1266052182034
SPT(16)	2323781609322283681	0 36 90 106 132 142 168 172 186 190 216 226 252 268 322 358	-1258249160740
STPT(10)	2323781670208193981	0 2 30 32 60 62 90 92 120 122	-1197363250440
SPT(16)	2323781801740101601	0 16 22 42 90 126 160 216 226 282 316 352 400 420 426 442	-1065831342820
SPT(16)	2323782326666895967	0 6 12 34 52 60 64 124 132 192 196 204 222 244 250 256	-540904548454
STPT(10)	2323782377997730619	0 2 12 14 30 32 48 50 60 62	-489573713802
SPT(18)	2323782985106790569	0 18 24 38 50 68 90 92 108 134 150 152 174 192 204 218 224 242	117535346148
SPT(16)	2323783074130889243	0 78 90 116 144 164 168 188 246 266 270 290 318 344 356 434	206559444822
STPT(10)	2323783101420176897	0 2 54 56 72 74 90 92 144 146	233848732476
STPT(10)	2323783235737445219	0 2 12 14 90 92 168 170 180 182	368166000798
SPT(16)	2323783268369395333	0 34 54 64 96 114 118 160 204 246 250 268 300 310 330 364	400797950912