Prime p₀= 2297877027757606619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2297875991502496049	0 12 30 72 164 210 240 282 332 374 404 450 542 584 602 614	-1036255110570
SPT(16)	2297876275214289587	0 2 12 26 30 60 90 102 110 122 152 182 186 200 210 212	-752543317032
SPT(16)	2297876349537067531	0 12 36 46 70 100 102 112 156 166 168 198 222 232 256 268	-678220539088
STPT(10)	2297876448267763841	0 2 30 32 78 80 126 128 156 158	-579489842778
STPT(10)	2297876490453072869	0 2 18 20 30 32 42 44 60 62	-537304533750
STPT(10)	2297876904751307879	0 2 18 20 30 32 42 44 60 62	-123006298740
SPT(16)	2297877548073893783	0 8 48 128 138 158 180 188 210 218 240 260 270 350 390 398	520316287164
STPT(10)	2297878231049252519	0 2 48 50 90 92 132 134 180 182	1203291645900
SPT(16)	2297878782121724927	0 20 32 42 56 104 114 116 180 182 192 240 254 264 276 296	1754364118308
STPT(10)	2297879539230684749	0 2 18 20 30 32 42 44 60 62	2511473078130
TPT(14)	2297879566693658657	0 2 24 26 132 134 162 164 372 374 402 404 420 422	2538936052038