Prime p₀= 2823670182356892857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: [SG-FC] hl
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2823668998597701701	0 12 30 42 80 116 128 150 188 210 222 258 296 308 326 338	-1183759191156
SPT(16)	2823669174508001623	0 4 30 66 70 84 94 136 174 216 226 240 244 280 306 310	-1007848891234
SPT(16)	2823669259813717957	0 4 6 46 76 82 90 96 160 166 174 180 210 250 252 256	-922543174900
SPT(16)	2823669690668238437	0 26 104 110 146 224 230 236 240 246 252 330 366 372 450 476	-491688654420
SPT(16)	2823670005207113737	0 10 12 82 114 136 156 166 180 190 210 232 264 334 336 346	-177149779120
SPT(16)	2823670072811892439	0 4 18 22 24 42 108 114 148 154 220 238 240 244 258 262	-109545000418
SPT(16)	2823670322399815741	0 160 180 202 222 250 270 276 322 328 348 376 396 418 438 598	140042922884
STPT(10)	2823670448643627797	0 2 30 32 42 44 54 56 84 86	266286734940
STPT(10)	2823670490760002591	0 2 36 38 78 80 120 122 156 158	308403109734
SPT(16)	2823670508442357073	0 24 36 54 100 106 108 118 156 166 168 174 220 238 250 274	326085464216
SPT(16)	2823670609762989527	0 14 32 50 60 62 74 84 92 102 114 116 126 144 162 176	427406096670