Prime p₀= 2303337604757305679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: FritzB
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2303336238530181973	0 16 28 34 40 48 84 96 118 130 166 174 180 186 198 214	-1366227123706
SPT(16)	2303336459166396463	0 10 36 60 66 108 120 124 300 304 316 358 364 388 414 424	-1145590909216
STPT(10)	2303337051184950749	0 2 42 44 90 92 138 140 180 182	-553572354930
SPT(16)	2303337320460716977	0 6 10 22 40 42 76 82 120 126 160 162 180 192 196 202	-284296588702
STPT(10)	2303337345661207979	0 2 12 14 30 32 48 50 60 62	-259096097700
SPT(16)	2303337585057473663	0 14 20 54 56 66 80 84 110 114 128 138 140 174 180 194	-19699832016
STPT(10)	2303338176799661327	0 2 30 32 42 44 54 56 84 86	572042355648
STPT(10)	2303338460115545681	0 2 6 8 48 50 90 92 96 98	855358240002
SPT(16)	2303338695136818529	0 64 88 114 124 130 168 222 280 334 372 378 388 414 438 502	1090379512850
STPT(10)	2303338843528268969	0 2 12 14 150 152 288 290 300 302	1238770963290
TPT(14)	2303339101138438787	0 2 30 32 294 296 342 344 384 386 420 422 474 476	1496381133108