Prime p₀= 1691689502032105781 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: CoolAtchOk
db: batch=79, k=10, 2 4 2 10 2

SPT(16)	1691687356137636329	0 2 50 62 72 84 194 212 222 240 350 362 372 384 432 434	-2145894469452
STPT(10)	1691688139678567991	0 2 36 38 78 80 120 122 156 158	-1362353537790
SPT(16)	1691688161989331911	0 12 16 28 40 96 100 132 136 168 172 228 240 252 256 268	-1340042773870
SPT(16)	1691688217477333459	0 54 88 112 114 132 154 174 208 228 250 268 270 294 328 382	-1284554772322
SPT(16)	1691688237082614737	0 2 24 42 66 114 120 134 282 296 302 350 374 392 414 416	-1264949491044
SPT(16)	1691688638377313557	0 42 70 90 100 120 142 156 190 204 226 246 256 276 304 346	-863654792224
STPT(10)	1691690002003339067	0 2 30 32 72 74 114 116 144 146	499971233286
SPT(16)	1691690039859799411	0 22 40 42 90 120 208 222 286 300 388 418 466 468 486 508	537827693630
SPT(16)	1691690048791951763	0 20 60 120 126 146 156 170 174 188 198 218 224 284 324 344	546759845982
STPT(10)	1691690183385629657	0 2 24 26 42 44 60 62 84 86	681353523876
SPT(16)	1691690450547527347	0 10 30 36 66 82 136 166 210 240 294 310 340 346 366 376	948515421566