Prime p₀= 2451657158894701799 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2451655276336090171	0 12 18 28 46 58 70 72 196 198 210 222 240 250 256 268	-1882558611628
STPT(10)	2451656202817337639	0 2 12 14 30 32 48 50 60 62	-956077364160
SPT(16)	2451656451440394103	0 6 24 54 100 114 244 268 276 300 430 444 490 520 538 544	-707454307696
TPT(14)	2451656524049492687	0 2 54 56 90 92 102 104 114 116 132 134 144 146	-634845209112
STPT(10)	2451656649861478907	0 2 12 14 42 44 72 74 84 86	-509033222892
STPT(10)	2451656862988905107	0 2 30 32 42 44 54 56 84 86	-295905796692
SPT(16)	2451657612936233431	0 6 28 42 60 66 118 132 196 210 262 268 286 300 322 328	454041531632
SPT(16)	2451657654338612471	0 8 20 36 50 66 68 90 98 120 122 138 152 168 180 188	495443910672
STPT(10)	2451657831945701549	0 2 42 44 60 62 78 80 120 122	673050999750
SPT(16)	2451658765317440891	0 60 80 116 146 170 248 266 300 318 396 420 450 486 506 566	1606422739092
SPT(16)	2451659882820552037	0 22 46 90 96 106 130 132 280 282 306 316 322 366 390 412	2723925850238