Prime p₀= 2139306846874687517 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: Coleslaw
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2139305291561277341	0 36 60 68 102 108 152 176 192 216 260 266 300 308 332 368	-1555313410176
SPT(16)	2139305451740007709	0 34 70 100 114 142 184 214 240 270 312 340 354 384 420 454	-1395134679808
SPT(16)	2139306096148396211	0 18 86 102 122 128 150 176 192 218 240 246 266 282 350 368	-750726291306
SPT(16)	2139306119562776783	0 84 90 146 164 176 188 230 234 276 288 300 318 374 380 464	-727311910734
SPT(16)	2139306215269372817	0 2 44 54 90 114 140 180 206 246 272 296 332 342 384 386	-631605314700
SPT(16)	2139306613634881157	0 24 26 74 110 150 152 186 230 264 266 306 342 390 392 416	-233239806360
STPT(10)	2139307420326176201	0 2 6 8 48 50 90 92 96 98	573451488684
SPT(16)	2139308061852831913	0 16 30 36 54 66 120 148 156 184 238 250 268 274 288 304	1214978144396
STPT(12)	2139308185433487557	0 2 24 26 30 32 234 236 240 242 264 266	1338558800040
SPT(16)	2139308706217382741	0 6 32 42 62 72 122 138 200 216 266 276 296 306 332 338	1859342695224
SPT(16)	2139308980544330393	0 24 36 128 138 144 164 170 234 240 260 266 276 368 380 404	2133669642876