Prime p₀= 2122378409112596819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Chooka
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2122377161972963417	0 14 30 44 60 86 90 104 126 140 144 170 186 200 216 230	-1247139633402
STPT(10)	2122377384519455771	0 2 36 38 138 140 240 242 276 278	-1024593141048
SPT(16)	2122377711344572907	0 2 24 42 56 80 96 102 134 140 156 180 194 212 234 236	-697768023912
TPT(14)	2122377833268867947	0 2 24 26 42 44 54 56 84 86 180 182 222 224	-575843728872
SPT(16)	2122378083613063753	0 10 70 78 144 210 256 268 276 288 334 400 466 474 534 544	-325499533066
SPT(16)	2122378132414318517	0 30 44 56 74 90 116 126 134 144 170 186 204 216 230 260	-276698278302
STPT(10)	2122378548567184277	0 2 30 32 42 44 54 56 84 86	139454587458
SPT(16)	2122378591580374301	0 18 32 62 72 80 122 170 210 258 300 308 318 348 362 380	182467777482
SPT(16)	2122378843323652897	0 36 64 96 130 132 154 166 210 222 244 246 280 312 340 376	434211056078
STPT(10)	2122378918043718977	0 2 30 32 42 44 54 56 84 86	508931122158
STPT(10)	2122379020637078387	0 2 30 32 60 62 90 92 120 122	611524481568