Prime p₀= 2904598358484333479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2904596807573640601	0 42 48 70 76 100 142 148 240 246 288 312 318 340 346 388	-1550910692878
STPT(10)	2904597165232517927	0 2 12 14 42 44 72 74 84 86	-1193251815552
STPT(10)	2904597186790626287	0 2 42 44 102 104 162 164 204 206	-1171693707192
SPT(16)	2904597763765674103	0 24 30 100 108 130 144 190 228 274 288 310 318 388 394 418	-594718659376
SPT(16)	2904598011560363057	0 42 62 80 104 122 144 156 410 422 444 462 486 504 524 566	-346923970422
SPT(18)	2904598238298142819	0 24 54 82 90 112 130 142 168 184 210 222 240 262 270 298 328 352	-120186190660
STPT(10)	2904600007679102177	0 2 30 32 42 44 54 56 84 86	1649194768698
STPT(10)	2904600316171574639	0 2 132 134 150 152 168 170 300 302	1957687241160
STPT(10)	2904600464379603131	0 2 6 8 18 20 30 32 36 38	2105895269652
TPT(14)	2904600715469491901	0 2 18 20 30 32 90 92 120 122 156 158 168 170	2356985158422
SPT(16)	2904600850856220931	0 18 90 112 126 130 132 142 216 226 228 232 246 268 340 358	2492371887452