Prime p₀= 726777977215930691 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	726776248674554719	0 12 34 70 84 120 132 138 154 160 172 208 222 258 280 292	-1728541375972
SPT(16)	726776360832698269	0 42 48 60 84 88 100 120 142 162 174 178 202 214 220 262	-1616383232422
SPT(16)	726776475972702989	0 30 44 72 92 108 150 204 248 302 344 360 380 408 422 452	-1501243227702
SPT(16)	726776480328133343	0 20 66 146 150 168 170 180 224 234 236 254 258 338 384 404	-1496887797348
SPT(16)	726776782463835863	0 6 8 36 68 84 86 110 114 138 140 156 188 216 218 224	-1194752094828
STPT(10)	726777247928936669	0 2 48 50 90 92 132 134 180 182	-729286994022
SPT(16)	726778527284794811	0 8 38 66 78 102 128 156 332 360 386 410 422 450 480 488	550068864120
SPT(16)	726778608348229681	0 10 28 30 72 100 112 168 202 258 270 298 340 342 360 370	631132298990
STPT(10)	726779167233604127	0 2 30 32 42 44 54 56 84 86	1190017673436
TPT(14)	726779245292600807	0 2 24 26 114 116 264 266 270 272 282 284 324 326	1268076670116
SPT(16)	726779773107819031	0 18 66 108 142 156 172 222 226 276 292 306 340 382 430 448	1795891888340