Prime p₀= 2808561423902564381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2808560602661044729	0 24 70 82 84 112 142 154 168 180 210 238 240 252 298 322	-821241519652
STPT(10)	2808560706651609977	0 2 12 14 42 44 72 74 84 86	-717250954404
SPT(16)	2808560719633484341	0 12 58 70 88 142 168 180 238 250 276 330 348 360 406 418	-704269080040
SPT(16)	2808561016692145669	0 10 40 42 64 94 100 120 184 204 210 240 262 264 294 304	-407210418712
SPT(16)	2808561351993132947	0 56 74 96 122 144 186 212 264 290 332 354 380 402 420 476	-71909431434
SPT(16)	2808561359274645109	0 4 48 64 88 130 144 150 172 178 192 234 258 274 318 322	-64627919272
STPT(10)	2808561883982208701	0 2 6 8 48 50 90 92 96 98	460079644320
STPT(10)	2808562256377657601	0 2 6 8 48 50 90 92 96 98	832475093220
STPT(10)	2808562303642922327	0 2 54 56 72 74 90 92 144 146	879740357946
SPT(16)	2808562325188758797	0 26 86 102 110 182 224 234 242 252 294 366 374 390 450 476	901286194416
SPT(16)	2808562510554649259	0 12 24 32 74 78 102 110 132 140 164 168 210 218 230 242	1086652084878