Prime p₀= 732834071564015009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Theadalus
db: batch=73, k=10, 2 40 2 76 2

SPT(16)	732832005354562129	0 60 90 100 102 118 148 174 268 294 324 340 342 352 382 442	-2066209452880
TPT(14)	732832248067612109	0 2 30 32 462 464 468 470 552 554 588 590 600 602	-1823496402900
SPT(16)	732832618326071401	0 10 12 90 120 132 150 162 166 178 196 208 238 316 318 328	-1453237943608
STPT(10)	732832827657206369	0 2 18 20 30 32 42 44 60 62	-1243906808640
SPT(16)	732833628312893659	0 4 10 28 58 70 94 114 238 258 282 294 324 342 348 352	-443251121350
SPT(16)	732833975130980201	0 30 50 56 92 110 150 212 216 278 318 336 372 378 398 428	-96433034808
SPT(16)	732834646934539841	0 18 38 72 90 150 170 198 200 228 248 308 326 360 380 398	575370524832
STPT(10)	732834749623885757	0 2 30 32 60 62 90 92 120 122	678059870748
SPT(16)	732834975891089573	0 8 68 78 84 138 146 188 216 258 266 320 326 336 396 404	904327074564
SPT(18)	732835362479604953	0 18 56 60 126 140 206 240 254 270 284 318 384 398 464 468 506 524	1290915589944
SPT(16)	732835587651975089	0 2 14 24 62 74 144 150 182 188 258 270 308 318 330 332	1516087960080