Prime p₀= 2162569390963948607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Landjunge
db: batch=81, k=10, 2 88 2 40 2

SPT(16)	2162567663608022453	0 6 26 48 60 68 80 90 116 126 138 146 158 180 200 206	-1727355926154
SPT(18)	2162567693449591283	0 6 18 30 84 116 126 140 150 224 234 248 258 290 344 356 368 374	-1697514357324
SPT(16)	2162568435097866277	0 42 52 54 60 76 82 94 132 144 150 166 172 174 184 226	-955866082330
STPT(10)	2162568618270685451	0 2 30 32 78 80 126 128 156 158	-772693263156
TPT(14)	2162568684459121661	0 2 48 50 90 92 186 188 228 230 246 248 288 290	-706504826946
STPT(10)	2162569351825399721	0 2 96 98 138 140 180 182 276 278	-39138548886
STPT(10)	2162569655290087187	0 2 60 62 72 74 84 86 144 146	264326138580
STPT(12)	2162569998527630381	0 2 30 32 60 62 126 128 156 158 186 188	607563681774
SPT(16)	2162570225095799357	0 44 56 104 150 156 216 252 314 350 410 416 462 510 522 566	834131850750
SPT(16)	2162570466124200859	0 12 24 48 84 94 108 124 138 154 168 178 214 238 250 262	1075160252252
SPT(16)	2162570558292374917	0 36 42 60 64 96 130 144 172 186 220 252 256 274 280 316	1167328426310