Prime p₀= 2044855708406711267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: vaughan
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2044854796513349371	0 12 48 52 82 88 160 238 270 348 420 426 456 460 496 508	-911893361896
STPT(10)	2044854856311268319	0 2 42 44 90 92 138 140 180 182	-852095442948
SPT(16)	2044855022984624449	0 4 22 70 84 88 100 102 130 132 144 148 162 210 228 232	-685422086818
STPT(10)	2044855055532461267	0 2 30 32 42 44 54 56 84 86	-652874250000
SPT(16)	2044855504548585061	0 22 100 120 156 166 222 280 342 400 456 466 502 522 600 622	-203858126206
SPT(16)	2044855669846456073	0 6 38 78 80 98 120 138 176 194 216 234 236 276 308 314	-38560255194
STPT(10)	2044856078873493407	0 2 30 32 42 44 54 56 84 86	370466782140
SPT(16)	2044856134313346437	0 12 26 72 102 110 122 144 152 174 186 194 224 270 284 296	425906635170
STPT(10)	2044856261728596179	0 2 48 50 90 92 132 134 180 182	553321884912
SPT(16)	2044856320245920249	0 18 50 60 98 104 120 132 230 242 258 264 302 312 344 362	611839208982
STPT(10)	2044856650272192101	0 2 36 38 78 80 120 122 156 158	941865480834