Prime p₀= 2311907966909780807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2311906115684132039	0 8 18 42 62 90 140 150 200 210 260 288 308 332 342 350	-1851225648768
TPT(14)	2311906434845777879	0 2 30 32 48 50 90 92 102 104 132 134 258 260	-1532064002928
SPT(18)	2311906443560274607	0 40 72 144 154 160 172 180 184 312 316 324 336 342 352 424 456 496	-1523349506200
SPT(16)	2311906736149554073	0 34 48 60 66 88 90 124 180 214 216 238 244 256 270 304	-1230760226734
TPT(14)	2311907155507977329	0 2 42 44 78 80 120 122 162 164 168 170 222 224	-811401803478
SPT(16)	2311907867496989407	0 34 46 52 64 76 84 90 106 112 120 132 144 150 162 196	-99412791400
STPT(10)	2311908116189192357	0 2 42 44 72 74 102 104 144 146	149279411550
SPT(16)	2311908156622029499	0 58 84 118 120 150 154 184 204 234 238 268 270 304 330 388	189712248692
STPT(10)	2311908321633907439	0 2 18 20 60 62 102 104 120 122	354724126632
STPT(10)	2311908868265265947	0 2 30 32 42 44 54 56 84 86	901355485140
STPT(10)	2311909758633742901	0 2 126 128 168 170 210 212 336 338	1791723962094