Prime p₀= 2823646247851150649 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2823642804048559411	0 22 28 42 46 58 66 72 106 112 120 132 136 150 156 178	-3443802591238
STPT(10)	2823643695656629661	0 2 6 8 48 50 90 92 96 98	-2552194520988
SPT(16)	2823644309797741321	0 12 36 52 66 82 112 160 168 216 246 262 276 292 316 328	-1938053409328
STPT(10)	2823644430373610687	0 2 30 32 42 44 54 56 84 86	-1817477539962
SPT(16)	2823645065235127403	0 8 14 50 54 96 98 114 140 156 158 200 204 240 246 254	-1182616023246
SPT(16)	2823645254693489881	0 6 12 46 76 78 88 142 186 240 250 252 282 316 322 328	-993157660768
STPT(10)	2823647130140222567	0 2 24 26 42 44 60 62 84 86	882289071918
SPT(16)	2823647606711106979	0 18 24 30 88 100 108 150 172 214 222 234 292 298 304 322	1358859956330
SPT(16)	2823647851907747603	0 14 68 96 134 138 204 216 308 320 386 390 428 456 510 524	1604056596954
SPT(16)	2823648600034572949	0 30 34 42 58 70 90 94 108 112 132 144 160 168 172 202	2352183422300
STPT(10)	2823648643382131889	0 2 18 20 60 62 102 104 120 122	2395530981240