Prime p₀= 2813279909009541287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	2813278785819717443	0 18 78 120 156 170 230 260 264 294 354 368 404 446 506 524	-1123189823844
SPT(16)	2813278912251636407	0 66 104 116 126 132 134 140 186 192 194 200 210 222 260 326	-996757904880
SPT(16)	2813279060960643811	0 12 16 46 60 106 130 156 172 198 222 268 282 312 316 328	-848048897476
SPT(16)	2813279138865675769	0 78 168 190 210 238 252 258 262 268 282 310 330 352 442 520	-770143865518
SPT(16)	2813279603226348973	0 16 36 66 78 84 136 148 156 168 220 226 238 268 288 304	-305783192314
STPT(10)	2813279752506866969	0 2 18 20 30 32 42 44 60 62	-156502674318
SPT(16)	2813280066356215537	0 12 22 30 42 46 60 70 72 82 96 100 112 120 130 142	157346674250
STPT(10)	2813280423681430397	0 2 60 62 102 104 144 146 204 206	514671889110
SPT(16)	2813281033511066003	0 6 18 26 44 54 138 146 168 176 260 270 288 296 308 314	1124501524716
STPT(10)	2813281370810873657	0 2 30 32 60 62 90 92 120 122	1461801332370
STPT(10)	2813281745592317969	0 2 12 14 30 32 48 50 60 62	1836582776682