Prime p₀= 1999767531103412009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Dingo
db: batch=80, k=10, 2 40 2 76 2

SPT(16)	1999766336557858031	0 20 42 50 56 86 126 132 296 302 342 372 378 386 408 428	-1194545553978
STPT(10)	1999766479076071241	0 2 6 8 48 50 90 92 96 98	-1052027340768
SPT(16)	1999766628754836901	0 18 58 66 72 78 82 88 120 126 130 136 142 150 190 208	-902348575108
SPT(16)	1999766784158387591	0 12 18 32 50 62 188 198 200 210 336 348 366 380 386 398	-746945024418
TPT(14)	1999766841661128497	0 2 12 14 24 26 72 74 84 86 102 104 114 116	-689442283512
SPT(16)	1999767194952438427	0 22 54 64 90 96 124 174 202 252 280 286 312 322 354 376	-336150973582
STPT(10)	1999767801529046357	0 2 30 32 42 44 54 56 84 86	270425634348
STPT(10)	1999768056028357187	0 2 24 26 42 44 60 62 84 86	524924945178
SPT(16)	1999768068911833403	0 24 30 60 86 108 126 186 218 278 296 318 344 374 380 404	537808421394
STPT(10)	1999768085705026919	0 2 42 44 60 62 78 80 120 122	554601614910
STPT(10)	1999768115844632891	0 2 6 8 18 20 30 32 36 38	584741220882