Prime p₀= 2268487884799026299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2268487318266185671	0 22 88 96 102 132 168 172 246 250 286 316 322 330 396 418	-566532840628
SPT(16)	2268487329182243977	0 36 42 52 82 96 126 150 166 190 220 234 264 274 280 316	-555616782322
SPT(16)	2268487345541419777	0 12 22 34 42 66 90 102 154 166 190 214 222 234 244 256	-539257606522
SPT(16)	2268487685154291889	0 4 22 40 82 112 120 124 210 214 222 252 294 312 330 334	-199644734410
STPT(10)	2268487700740941731	0 2 6 8 18 20 30 32 36 38	-184058084568
SPT(16)	2268487847992186481	0 6 26 42 68 90 128 138 170 180 218 240 266 282 302 308	-36806839818
SPT(16)	2268487898902119121	0 12 28 36 76 112 118 132 196 210 216 252 292 300 316 328	14103092822
STPT(10)	2268487909802641127	0 2 42 44 72 74 102 104 144 146	25003614828
SPT(16)	2268488012273805857	0 14 30 62 90 104 152 162 182 192 240 254 282 314 330 344	127474779558
TPT(14)	2268488069162898437	0 2 72 74 84 86 150 152 204 206 252 254 324 326	184363872138
STPT(10)	2268488112250809089	0 2 12 14 90 92 168 170 180 182	227451782790