Prime p₀= 1137773544136429157 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1137771908974851401	0 20 26 42 128 140 170 182 186 198 228 240 326 342 348 368	-1635161577756
SPT(16)	1137772365815895773	0 6 8 20 78 96 120 140 174 194 218 236 294 306 308 314	-1178320533384
TPT(14)	1137772482402450281	0 2 90 92 126 128 168 170 186 188 210 212 246 248	-1061733978876
SPT(16)	1137772503888743851	0 30 36 58 108 130 148 150 238 240 258 280 330 352 358 388	-1040247685306
SPT(13)	1137773024044703329	0 12 30 78 90 180 210 240 330 342 390 408 420	-520091725828
SPT(16)	1137773161764557543	0 30 128 156 158 170 200 284 330 414 444 456 458 486 584 614	-382371871614
SPT(16)	1137773566373141041	0 12 70 88 112 130 168 178 222 232 270 288 312 330 388 400	22236711884
SPT(16)	1137773710513312199	0 108 122 138 144 200 210 218 294 302 312 368 374 390 404 512	166376883042
STPT(10)	1137773876327784767	0 2 30 32 42 44 54 56 84 86	332191355610
SPT(16)	1137774051422188273	0 88 120 130 144 190 198 240 244 286 294 340 354 364 396 484	507285759116
SPT(16)	1137774073777012541	0 6 30 48 50 72 78 150 188 260 266 288 290 308 332 338	529640583384