Prime p₀= 2826996501842786237 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

STPT(10)	2826994057512700259	0 2 18 20 30 32 42 44 60 62	-2444330085978
STPT(10)	2826994334100678527	0 2 30 32 60 62 90 92 120 122	-2167742107710
SPT(16)	2826994455141783623	0 20 30 56 104 114 126 140 204 218 230 240 288 314 324 344	-2046701002614
SPT(16)	2826994580394247331	0 26 38 60 90 102 110 158 210 258 266 278 308 330 342 368	-1921448538906
SPT(16)	2826995032453912571	0 26 32 42 66 86 128 146 192 210 252 272 296 306 312 338	-1469388873666
SPT(16)	2826995046072713611	0 6 40 46 76 88 130 142 156 168 210 222 252 258 292 298	-1455770072626
SPT(16)	2826996679009520579	0 18 80 122 150 158 188 240 260 312 342 350 378 420 482 500	177166734342
SPT(16)	2826997729047719239	0 18 34 42 52 102 112 130 192 210 220 270 280 288 304 322	1227204933002
STPT(10)	2826997934830514747	0 2 30 32 42 44 54 56 84 86	1432987728510
SPT(16)	2826998138018228371	0 10 36 60 126 136 150 156 220 226 240 250 316 340 366 376	1636175442134
SPT(16)	2826998491361808763	0 4 10 28 124 130 138 174 220 256 264 270 366 384 390 394	1989519022526