Prime p₀= 2123349441420310919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2123347851865106099	0 60 84 150 164 198 228 258 434 464 494 528 542 608 632 692	-1589555204820
TPT(14)	2123347933622369147	0 2 12 14 24 26 72 74 114 116 192 194 204 206	-1507797941772
SPT(16)	2123347975634471093	0 6 104 144 156 158 210 228 296 314 366 368 380 420 518 524	-1465785839826
SPT(16)	2123348050060817341	0 40 90 102 112 132 156 238 240 322 346 366 376 388 438 478	-1391359493578
SPT(16)	2123348074042029049	0 4 28 54 90 108 130 210 262 342 364 382 418 444 468 472	-1367378281870
TPT(14)	2123348217153059639	0 2 42 44 78 80 138 140 210 212 222 224 252 254	-1224267251280
TPT(14)	2123349725390625617	0 2 54 56 174 176 210 212 252 254 270 272 354 356	283970314698
STPT(10)	2123349815983138607	0 2 12 14 72 74 132 134 144 146	374562827688
STPT(10)	2123349918048509327	0 2 60 62 72 74 84 86 144 146	476628198408
SPT(16)	2123350107215709553	0 34 54 60 90 130 150 174 220 244 264 304 334 340 360 394	665795398634
SPT(16)	2123350129152087371	0 18 20 60 72 86 138 152 246 260 312 326 338 378 380 398	687731776452