Prime p₀= 2623105145634143699 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: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2623103945430308149	0 18 24 64 84 90 120 160 288 328 358 364 384 424 430 448	-1200203835550
STPT(10)	2623104140609793719	0 2 48 50 90 92 132 134 180 182	-1005024349980
SPT(16)	2623104204773058737	0 12 14 24 26 110 120 132 224 236 246 330 332 342 344 356	-940861084962
SPT(16)	2623104442707398843	0 6 18 44 68 86 96 140 144 188 198 216 240 266 278 284	-702926744856
SPT(16)	2623105012095013643	0 8 68 74 86 114 156 176 288 308 350 378 390 396 456 464	-133539130056
STPT(10)	2623105024706137241	0 2 6 8 48 50 90 92 96 98	-120928006458
SPT(16)	2623105276608496333	0 24 30 40 66 76 108 120 154 166 198 208 234 244 250 274	130974352634
SPT(16)	2623105710822965371	0 12 40 48 72 76 148 168 190 210 282 286 310 318 346 358	565188821672
SPT(16)	2623105922734186091	0 72 98 132 152 212 230 236 252 258 276 336 356 390 416 488	777100042392
SPT(16)	2623106056053738169	0 4 22 28 40 48 82 84 88 90 124 132 144 150 168 172	910419594470
STPT(10)	2623106138466654899	0 2 42 44 60 62 78 80 120 122	992832511200