Prime p₀= 2801058351913951697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2801056408869642683	0 14 68 78 90 116 134 140 264 270 288 314 326 336 390 404	-1943044309014
STPT(10)	2801056866179128547	0 2 12 14 72 74 132 134 144 146	-1485734823150
SPT(16)	2801056982071407259	0 4 22 30 82 102 114 172 180 238 250 270 322 330 348 352	-1369842544438
TPT(14)	2801057391169233587	0 2 24 26 84 86 144 146 240 242 282 284 360 362	-960744718110
SPT(16)	2801057654708330687	0 26 42 66 74 80 104 146 180 222 246 252 260 284 300 326	-697205621010
SPT(16)	2801058287360851667	0 6 36 74 116 144 146 162 224 240 242 270 312 350 380 386	-64553100030
STPT(10)	2801058870944483417	0 2 72 74 102 104 132 134 204 206	519030531720
TPT(14)	2801059049575481087	0 2 54 56 72 74 150 152 162 164 180 182 252 254	697661529390
STPT(10)	2801059132306431497	0 2 12 14 72 74 132 134 144 146	780392479800
STPT(10)	2801059318762709699	0 2 30 32 60 62 90 92 120 122	966848758002
STPT(10)	2801059372236626507	0 2 30 32 42 44 54 56 84 86	1020322674810