Prime p₀= 2812559096833050179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2812556820049221419	0 12 20 80 104 122 150 168 194 212 240 258 282 342 350 362	-2276783828760
SPT(16)	2812557070799413673	0 36 38 80 98 108 120 150 194 224 236 246 264 306 308 344	-2026033636506
SPT(16)	2812557734143959181	0 6 48 76 102 112 142 168 190 216 246 256 282 310 352 358	-1362689090998
STPT(10)	2812557763827633707	0 2 30 32 42 44 54 56 84 86	-1333005416472
SPT(16)	2812557873526663943	0 18 108 150 156 158 170 186 338 354 366 368 374 416 506 524	-1223306386236
SPT(16)	2812558447724811127	0 42 66 70 84 132 144 166 180 202 214 262 276 280 304 346	-649108239052
SPT(16)	2812559996019827653	0 28 66 96 106 108 124 130 144 150 166 168 178 208 246 274	899186777474
STPT(10)	2812560405672767801	0 2 6 8 18 20 30 32 36 38	1308839717622
SPT(16)	2812560634743131933	0 14 24 26 44 128 138 156 398 416 426 510 528 530 540 554	1537910081754
STPT(10)	2812560666561592481	0 2 66 68 138 140 210 212 276 278	1569728542302
SPT(16)	2812560786695445581	0 8 26 90 102 110 138 162 206 230 258 266 278 342 360 368	1689862395402