Prime p₀= 2106916205642262569 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: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2106915346405822991	0 36 42 110 126 140 188 198 230 240 288 302 318 386 392 428	-859236439578
SPT(16)	2106915403252981879	0 4 24 34 54 70 90 108 154 172 192 208 228 238 258 262	-802389280690
STPT(10)	2106915512785767767	0 2 30 32 72 74 114 116 144 146	-692856494802
STPT(10)	2106915875719166297	0 2 30 32 60 62 90 92 120 122	-329923096272
SPT(16)	2106916037685654863	0 24 26 38 50 96 120 126 188 194 218 264 276 288 290 314	-167956607706
SPT(16)	2106916073319341807	0 6 14 56 74 102 122 144 272 294 314 342 360 402 410 416	-132322920762
STPT(10)	2106916307388205931	0 2 36 38 78 80 120 122 156 158	101745943362
STPT(10)	2106916484146291847	0 2 12 14 42 44 72 74 84 86	278504029278
STPT(10)	2106916674906889169	0 2 18 20 30 32 42 44 60 62	469264626600
STPT(10)	2106916859558171621	0 2 36 38 78 80 120 122 156 158	653915909052
STPT(10)	2106917022414597059	0 2 18 20 30 32 42 44 60 62	816772334490