Prime p₀= 2223845321912454209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: herby44
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2223844340108596067	0 24 36 62 122 126 140 146 150 156 170 174 234 260 272 296	-981803858142
STPT(10)	2223844793974309577	0 2 30 32 42 44 54 56 84 86	-527938144632
SPT(16)	2223844884982521397	0 4 6 64 112 114 156 244 282 370 412 414 462 520 522 526	-436929932812
STPT(10)	2223845028409651847	0 2 30 32 72 74 114 116 144 146	-293502802362
SPT(16)	2223845056381401707	0 2 36 42 44 50 60 74 102 116 126 132 134 140 174 176	-265531052502
SPT(16)	2223845198863738669	0 72 94 114 148 168 192 234 238 280 304 324 358 378 400 472	-123048715540
STPT(10)	2223845348110988267	0 2 12 14 42 44 72 74 84 86	26198534058
SPT(16)	2223845464817273239	0 22 48 108 132 138 160 180 232 252 274 280 304 364 390 412	142904819030
TPT(14)	2223845725659095477	0 2 30 32 162 164 210 212 240 242 294 296 300 302	403746641268
SPT(16)	2223845953076248679	0 2 12 38 50 92 120 128 132 140 168 210 222 248 258 260	631163794470
STPT(10)	2223846073201459937	0 2 24 26 42 44 60 62 84 86	751289005728