Prime p₀= 2112941787646175579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Odd-Rod
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2112940442300358793	0 36 90 106 126 150 160 166 204 210 220 244 264 280 334 370	-1345345816786
STPT(10)	2112940822885386491	0 2 6 8 48 50 90 92 96 98	-964760789088
SPT(18)	2112940883111362649	0 8 30 38 78 140 144 242 270 272 300 398 402 464 504 512 534 542	-904534812930
STPT(10)	2112941052666714209	0 2 30 32 120 122 210 212 240 242	-734979461370
SPT(16)	2112941071657246939	0 54 70 108 118 154 180 198 304 322 348 384 394 432 448 502	-715988928640
SPT(13)	2112941467609835651	0 12 42 90 132 138 180 222 228 270 318 348 360	-320036339928
STPT(10)	2112941898712735001	0 2 6 8 18 20 30 32 36 38	111066559422
STPT(12)	2112942166153821881	0 2 30 32 90 92 180 182 240 242 270 272	378507646302
SPT(16)	2112942220772550781	0 6 12 22 42 48 52 82 216 246 250 256 276 286 292 298	433126375202
STPT(10)	2112942333184157351	0 2 30 32 60 62 90 92 120 122	545537981772
SPT(16)	2112943069238952253	0 6 10 18 28 66 76 78 226 228 238 276 286 294 298 304	1281592776674