Prime p₀= 2112899619723352247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: MarkRBright
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2112898306014196303	0 4 36 58 70 94 100 124 210 234 240 264 276 298 330 334	-1313709155944
SPT(16)	2112898468894818259	0 4 18 30 40 88 114 144 208 238 264 312 322 334 348 352	-1150828533988
SPT(16)	2112898678614406153	0 58 64 78 120 130 144 148 210 214 228 238 280 294 300 358	-941108946094
TPT(14)	2112898967503310669	0 2 102 104 132 134 138 140 168 170 222 224 282 284	-652220041578
TPT(14)	2112899007710476691	0 2 60 62 96 98 186 188 336 338 378 380 420 422	-612012875556
SPT(16)	2112899423546614277	0 24 54 72 84 86 92 102 134 144 150 152 164 182 212 236	-196176737970
STPT(10)	2112899724843856841	0 2 6 8 48 50 90 92 96 98	105120504594
STPT(10)	2112899818129344149	0 2 42 44 90 92 138 140 180 182	198405991902
STPT(10)	2112900847556541737	0 2 30 32 60 62 90 92 120 122	1227833189490
SPT(16)	2112900917573067959	0 42 60 68 78 102 120 152 168 200 218 242 252 260 278 320	1297849715712
STPT(10)	2112901313122036667	0 2 24 26 42 44 60 62 84 86	1693398684420