Prime p₀= 2068609817040369287 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	2068607727535198259	0 2 12 14 42 44 48 50 90 92 132 134 198 200	-2089505171028
SPT(16)	2068609327239941693	0 20 74 78 84 86 120 140 174 194 228 230 236 240 294 314	-489800427594
STPT(10)	2068609347715733441	0 2 48 50 108 110 168 170 216 218	-469324635846
TPT(14)	2068609498796746289	0 2 18 20 42 44 102 104 192 194 228 230 270 272	-318243622998
SPT(16)	2068609755807891017	0 12 24 42 50 140 150 182 222 254 264 354 362 380 392 404	-61232478270
TPT(14)	2068609786905692351	0 2 60 62 96 98 126 128 156 158 198 200 228 230	-30134676936
SPT(16)	2068610212372056817	0 36 52 76 102 106 136 192 214 270 300 304 330 354 370 406	395331687530
SPT(16)	2068610215248422539	0 24 28 94 144 154 210 214 228 232 288 298 348 414 418 442	398208053252
TPT(14)	2068610318811121751	0 2 30 32 66 68 120 122 150 152 210 212 318 320	501770752464
SPT(16)	2068610933539349429	0 2 24 38 54 90 138 140 222 224 272 308 324 338 360 362	1116498980142
SPT(16)	2068612009095586859	0 14 32 42 62 90 98 150 182 234 242 270 290 300 318 332	2192055217572