Prime p₀= 2377864478773093361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2377862956870930631	0 18 26 90 92 98 102 146 252 296 300 306 308 372 380 398	-1521902162730
SPT(16)	2377863147389730989	0 8 14 42 44 104 120 132 170 182 198 258 260 288 294 302	-1331383362372
SPT(16)	2377863587467525951	0 6 28 66 82 120 126 148 210 232 238 276 292 330 352 358	-891305567410
STPT(10)	2377863681684658619	0 2 48 50 90 92 132 134 180 182	-797088434742
SPT(16)	2377863849185020199	0 12 14 20 44 50 54 104 198 248 252 258 282 288 290 302	-629588073162
SPT(16)	2377864111955115379	0 60 78 124 142 144 178 192 310 324 358 360 378 424 442 502	-366817977982
SPT(16)	2377864925305545631	0 22 46 60 82 106 120 126 202 208 222 246 268 282 306 328	446532452270
SPT(16)	2377865545463162857	0 6 72 84 112 114 126 130 156 160 172 174 202 214 280 286	1066690069496
SPT(16)	2377865681112049939	0 42 48 54 88 90 114 144 208 238 262 264 298 304 310 352	1202338956578
SPT(16)	2377866227874371713	0 58 78 120 178 180 216 240 244 268 304 306 364 406 426 484	1749101278352
SPT(16)	2377866902063360863	0 4 18 60 130 154 166 184 210 228 240 264 334 376 390 394	2423290267502