Prime p₀= 1999373324833652951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: Dingo
db: batch=80, k=10, 2 64 2 70 2

SPT(16)	1999372223441648371	0 42 60 106 120 130 136 156 436 456 462 472 486 532 550 592	-1101392004580
SPT(16)	1999372322523412043	0 26 30 84 86 168 228 230 294 296 356 438 440 494 498 524	-1002310240908
SPT(18)	1999372363411869899	0 78 92 110 122 144 150 204 234 278 308 362 368 390 402 420 434 512	-961421783052
SPT(16)	1999372533583771531	0 30 42 76 108 138 142 162 196 216 220 250 282 316 328 358	-791249881420
STPT(10)	1999372630753102901	0 2 6 8 18 20 30 32 36 38	-694080550050
SPT(16)	1999373003689497971	0 2 36 66 72 80 126 140 162 176 222 230 236 266 300 302	-321144154980
STPT(10)	1999373911231639907	0 2 30 32 42 44 54 56 84 86	586397986956
SPT(16)	1999374025651879609	0 12 18 24 28 42 64 78 94 108 130 144 148 154 160 172	700818226658
STPT(10)	1999374481865641997	0 2 30 32 42 44 54 56 84 86	1157031989046
STPT(10)	1999374574577396447	0 2 54 56 72 74 90 92 144 146	1249743743496
TPT(14)	1999374796745596769	0 2 48 50 72 74 102 104 132 134 168 170 210 212	1471911943818