Prime p₀= 2328574145570342609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2328573086298822947	0 26 36 44 90 104 150 234 236 320 366 380 426 434 444 470	-1059271519662
STPT(10)	2328573182960315969	0 2 18 20 30 32 42 44 60 62	-962610026640
STPT(10)	2328573227063135597	0 2 30 32 42 44 54 56 84 86	-918507207012
SPT(16)	2328573710569032427	0 4 64 70 72 112 156 244 252 340 384 424 426 432 492 496	-435001310182
STPT(10)	2328573797773107551	0 2 6 8 18 20 30 32 36 38	-347797235058
SPT(16)	2328574029918157739	0 42 48 50 72 78 90 104 198 212 224 230 252 254 260 302	-115652184870
SPT(16)	2328574167626019119	0 14 32 48 72 74 182 242 300 360 468 470 494 510 528 542	22055676510
SPT(16)	2328574235871852049	0 34 48 58 78 154 184 190 222 228 258 334 354 364 378 412	90301509440
STPT(10)	2328574355340698789	0 2 18 20 60 62 102 104 120 122	209770356180
STPT(10)	2328574938179942897	0 2 30 32 42 44 54 56 84 86	792609600288
STPT(10)	2328574961783626679	0 2 12 14 30 32 48 50 60 62	816213284070