Prime p₀= 2343591981129798569 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: Groo
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2343590635761899659	0 4 18 58 84 88 94 154 174 234 240 244 270 310 324 328	-1345367898910
SPT(16)	2343590818443966719	0 18 102 108 138 168 180 192 260 272 284 314 344 350 434 452	-1162685831850
STPT(10)	2343590827605054227	0 2 30 32 72 74 114 116 144 146	-1153524744342
SPT(16)	2343591048626735939	0 14 30 54 92 114 132 168 224 260 278 300 338 362 378 392	-932503062630
STPT(10)	2343591616987786181	0 2 30 32 78 80 126 128 156 158	-364142012388
SPT(16)	2343591812652470593	0 10 24 48 76 90 108 160 174 226 244 258 286 310 324 334	-168477327976
SPT(16)	2343592114262321203	0 36 40 46 84 94 130 154 180 204 240 250 288 294 298 334	133132522634
SPT(16)	2343592357975676069	0 92 108 198 204 240 272 302 330 360 392 428 434 524 540 632	376845877500
STPT(10)	2343592516021240871	0 2 30 32 78 80 126 128 156 158	534891442302
STPT(10)	2343592665630993779	0 2 30 32 60 62 90 92 120 122	684501195210
SPT(16)	2343592799710073029	0 10 30 34 82 84 100 138 154 192 208 210 258 262 282 292	818580274460