Prime p₀= 2759542564181758679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Roadranner
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2759540232824012767	0 12 22 70 84 180 202 210 286 294 316 412 426 474 484 496	-2331357745912
STPT(10)	2759540606686554797	0 2 30 32 42 44 54 56 84 86	-1957495203882
SPT(16)	2759540740242739577	0 26 42 56 90 92 102 104 132 134 144 146 180 194 210 236	-1823939019102
STPT(12)	2759540951262806339	0 2 12 14 30 32 192 194 210 212 222 224	-1612918952340
SPT(20)	2759540985079116967	0 10 42 70 72 102 124 126 144 166 240 262 280 282 304 334 336 364 396 406	-1579102641712
SPT(16)	2759541938120744167	0 6 72 94 100 102 130 196 240 306 334 336 342 364 430 436	-626061014512
SPT(16)	2759542567643888599	0 30 34 42 72 124 154 184 240 270 300 352 382 390 394 424	3462129920
STPT(10)	2759543341226117177	0 2 30 32 42 44 54 56 84 86	777044358498
SPT(16)	2759543591684887543	0 48 60 70 76 78 90 100 174 184 196 198 204 214 226 274	1027503128864
SPT(16)	2759543596319407361	0 38 120 132 182 200 210 258 260 308 318 336 386 398 480 518	1032137648682
STPT(10)	2759544559995367559	0 2 48 50 60 62 72 74 120 122	1995813608880