Prime p₀= 800453320887474011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Tom Poleski
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	800451716863887199	0 4 42 52 100 112 124 144 250 270 282 294 342 352 390 394	-1604023586812
SPT(16)	800451911803733911	0 78 120 148 150 168 228 232 276 280 340 358 360 388 430 508	-1409083740100
SPT(18)	800452007606362387	0 6 40 42 72 82 90 96 190 336 430 436 444 454 484 486 520 526	-1313281111624
STPT(10)	800452200107998577	0 2 42 44 72 74 102 104 144 146	-1120779475434
STPT(10)	800452333009647299	0 2 18 20 60 62 102 104 120 122	-987877826712
SPT(16)	800452390214013961	0 22 36 46 118 120 160 172 186 198 238 240 312 322 336 358	-930673460050
STPT(10)	800453576118002801	0 2 36 38 78 80 120 122 156 158	255230528790
SPT(16)	800453627772364913	0 54 68 98 114 120 138 144 194 200 218 224 240 270 284 338	306884890902
SPT(16)	800453714805790769	0 12 38 84 128 132 138 170 192 224 230 234 278 324 350 362	393918316758
TPT(14)	800453857761268019	0 2 12 14 72 74 138 140 210 212 330 332 348 350	536873794008
SPT(16)	800453918873067583	0 24 40 66 70 88 90 150 274 334 336 354 358 384 400 424	597985593572