Prime p₀= 1668656135536950587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: CoolAtchOk
db: batch=79, k=10, 2 22 2 16 2

SPT(16)	1668654734075446759	0 22 102 168 270 288 298 300 442 444 454 472 574 640 720 742	-1401461503828
TPT(14)	1668654884820529337	0 2 12 14 42 44 90 92 174 176 180 182 210 212	-1250716421250
STPT(10)	1668654888558830717	0 2 30 32 42 44 54 56 84 86	-1246978119870
SPT(16)	1668654977525920147	0 4 10 12 22 52 60 64 102 106 114 144 154 156 162 166	-1158011030440
SPT(16)	1668655495991556221	0 18 30 42 48 78 92 128 132 168 182 212 218 230 242 260	-639545394366
SPT(16)	1668656131243673797	0 24 70 142 144 150 162 192 274 304 316 322 324 396 442 466	-4293276790
SPT(20)	1668656248945380029	0 30 54 114 128 150 158 170 200 210 212 222 252 264 272 294 308 368 392 422	113408429442
SPT(16)	1668657060592570849	0 10 22 40 52 58 120 132 268 280 342 348 360 378 390 400	925055620262
SPT(16)	1668657346756877557	0 10 12 54 72 82 100 114 160 174 192 202 220 262 264 274	1211219926970
SPT(16)	1668657560844908149	0 18 42 52 84 88 150 214 228 292 354 358 390 400 424 442	1425307957562
SPT(16)	1668657600790567181	0 6 20 36 72 86 92 116 186 210 216 230 266 282 296 302	1465253616594