Prime p₀= 2768890579664082617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2768889172048921721	0 2 30 38 42 72 78 98 150 170 176 206 210 218 246 248	-1407615160896
SPT(16)	2768889347930027407	0 10 22 52 82 130 142 150 184 192 204 252 282 312 324 334	-1231734055210
STPT(10)	2768889353110919567	0 2 42 44 72 74 102 104 144 146	-1226553163050
STPT(10)	2768889702145432937	0 2 30 32 120 122 210 212 240 242	-877518649680
SPT(16)	2768890044708025163	0 8 30 56 80 170 198 246 290 338 366 456 480 506 528 536	-534956057454
SPT(20)	2768890575840157337	0 6 24 56 66 86 114 122 126 132 164 170 174 182 210 230 240 272 290 296	-3823925280
SPT(16)	2768890742462056799	0 14 42 44 54 74 98 104 138 144 168 188 198 200 228 242	162797974182
STPT(10)	2768890772410136147	0 2 54 56 72 74 90 92 144 146	192746053530
STPT(10)	2768890968069989597	0 2 42 44 162 164 282 284 324 326	388405906980
SPT(16)	2768891335271333003	0 14 30 128 140 188 198 240 284 326 336 384 396 494 510 524	755607250386
STPT(10)	2768891555212095461	0 2 30 32 78 80 126 128 156 158	975548012844