Prime p₀= 2339803507786741457 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2339801210074128637	0 6 40 42 64 82 90 132 154 196 204 222 244 246 280 286	-2297712612820
TPT(14)	2339801770155037211	0 2 6 8 36 38 48 50 78 80 240 242 336 338	-1737631704246
STPT(10)	2339802208784400251	0 2 48 50 108 110 168 170 216 218	-1299002341206
STPT(10)	2339802244760059967	0 2 30 32 42 44 54 56 84 86	-1263026681490
TPT(14)	2339802741729486827	0 2 162 164 222 224 234 236 252 254 342 344 510 512	-766057254630
SPT(16)	2339803154646660931	0 12 42 60 78 100 130 132 196 198 228 250 268 286 316 328	-353140080526
SPT(16)	2339803869596189237	0 80 92 114 132 156 204 224 282 302 350 374 392 414 426 506	361809447780
STPT(10)	2339803923062991137	0 2 30 32 42 44 54 56 84 86	415276249680
SPT(16)	2339804444248458283	0 6 64 66 70 78 94 108 136 150 166 174 178 180 238 244	936461716826
SPT(16)	2339804578010276719	0 24 34 40 52 82 118 130 132 144 180 210 222 228 238 262	1070223535262
SPT(18)	2339804584370521399	0 42 54 60 82 112 118 154 178 204 228 264 270 300 322 328 340 382	1076583779942