Prime p₀= 2889430912141561727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2889429727644426997	0 10 16 34 94 154 172 210 286 324 342 402 462 480 486 496	-1184497134730
TPT(14)	2889429845629928351	0 2 18 20 36 38 78 80 126 128 156 158 168 170	-1066511633376
SPT(16)	2889430170351823387	0 4 42 66 84 100 102 112 144 154 156 172 190 214 252 256	-741789738340
SPT(16)	2889430250411709209	0 14 24 80 90 104 108 140 168 200 204 218 228 284 294 308	-661729852518
STPT(10)	2889430389557116817	0 2 24 26 42 44 60 62 84 86	-522584444910
STPT(10)	2889430399379638481	0 2 6 8 48 50 90 92 96 98	-512761923246
STPT(10)	2889431188724886329	0 2 18 20 30 32 42 44 60 62	276583324602
STPT(10)	2889431888088135347	0 2 42 44 72 74 102 104 144 146	975946573620
SPT(16)	2889431944109336707	0 12 30 34 64 82 96 102 184 190 204 222 252 256 274 286	1031967774980
SPT(16)	2889432431643985639	0 48 58 60 88 142 150 168 202 220 228 282 310 312 322 370	1519502423912
SPT(16)	2889432513129473473	0 64 70 94 108 130 138 148 186 196 204 226 240 264 270 334	1600987911746