Prime p₀= 2112891055602877577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=80, k=10, 2 22 2 16 2

SPT(16)	2112890870619402259	0 22 24 58 64 94 100 112 180 192 198 228 234 268 270 292	-184983475318
STPT(10)	2112890944691381357	0 2 24 26 42 44 60 62 84 86	-110911496220
SPT(16)	2112890981729242859	0 2 20 42 44 72 92 110 114 132 152 180 182 204 222 224	-73873634718
TPT(14)	2112891000877763837	0 2 24 26 132 134 162 164 210 212 330 332 360 362	-54725113740
SPT(16)	2112891022914414307	0 10 34 42 52 82 90 120 136 166 174 204 214 222 246 256	-32688463270
SPT(16)	2112891027646299787	0 34 42 46 96 102 106 124 132 150 154 160 210 214 222 256	-27956577790
SPT(16)	2112891371249895169	0 10 24 48 64 90 114 118 150 154 178 204 220 244 258 268	315647017592
SPT(16)	2112891771953057077	0 22 52 54 64 112 154 180 274 300 342 390 400 402 432 454	716350179500
SPT(16)	2112891901199651119	0 22 42 60 78 88 94 114 148 168 174 184 202 220 240 262	845596773542
STPT(12)	2112892417034894849	0 2 12 14 30 32 72 74 90 92 102 104	1361432017272
SPT(16)	2112892843317915691	0 6 126 132 138 160 216 238 270 292 348 370 376 382 502 508	1787715038114