Prime p₀= 2796573416843958527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Groo
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2796572019012963053	0 18 84 156 158 224 230 240 344 354 360 426 428 500 566 584	-1397830995474
SPT(16)	2796572570250825361	0 6 10 48 150 168 186 196 210 220 238 256 358 396 400 406	-846593133166
STPT(10)	2796572758522249247	0 2 90 92 102 104 114 116 204 206	-658321709280
STPT(10)	2796572774670025187	0 2 12 14 72 74 132 134 144 146	-642173933340
STPT(10)	2796572849235073499	0 2 48 50 90 92 132 134 180 182	-567608885028
TPT(14)	2796573142248247511	0 2 30 32 78 80 120 122 210 212 336 338 378 380	-274595711016
SPT(16)	2796573597203354921	0 30 38 108 128 140 168 176 192 200 228 240 260 330 338 368	180359396394
SPT(16)	2796573884662886701	0 6 60 66 70 90 120 126 136 142 172 192 196 202 256 262	467818928174
STPT(10)	2796574005508427231	0 2 6 8 48 50 90 92 96 98	588664468704
STPT(10)	2796574151896939199	0 2 42 44 60 62 78 80 120 122	735052980672
SPT(16)	2796574584649344253	0 6 18 28 46 60 96 118 138 160 196 210 228 238 250 256	1167805385726