Prime p₀= 2162569351825399721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 94 2 40 2

SPT(16)	2162567624981674487	0 12 114 134 150 152 156 180 206 230 234 236 252 272 374 386	-1726843725234
SPT(16)	2162567663608022453	0 6 26 48 60 68 80 90 116 126 138 146 158 180 200 206	-1688217377268
SPT(18)	2162567693449591283	0 6 18 30 84 116 126 140 150 224 234 248 258 290 344 356 368 374	-1658375808438
SPT(16)	2162568435097866277	0 42 52 54 60 76 82 94 132 144 150 166 172 174 184 226	-916727533444
STPT(10)	2162568618270685451	0 2 30 32 78 80 126 128 156 158	-733554714270
TPT(14)	2162568684459121661	0 2 48 50 90 92 186 188 228 230 246 248 288 290	-667366278060
STPT(10)	2162569390963948607	0 2 90 92 132 134 174 176 264 266	39138548886
STPT(10)	2162569655290087187	0 2 60 62 72 74 84 86 144 146	303464687466
STPT(12)	2162569998527630381	0 2 30 32 60 62 126 128 156 158 186 188	646702230660
SPT(16)	2162570225095799357	0 44 56 104 150 156 216 252 314 350 410 416 462 510 522 566	873270399636
SPT(16)	2162570466124200859	0 12 24 48 84 94 108 124 138 154 168 178 214 238 250 262	1114298801138