Prime p₀= 2576676096063999047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2576673773671095347	0 2 30 32 42 44 54 56 84 86	-2322392903700
TPT(14)	2576674200468242027	0 2 84 86 114 116 150 152 180 182 234 236 264 266	-1895595757020
SPT(16)	2576674358932783771	0 16 30 58 78 88 102 126 142 166 180 190 210 238 252 268	-1737131215276
STPT(12)	2576675036014248677	0 2 30 32 60 62 72 74 102 104 132 134	-1060049750370
SPT(16)	2576675400123415849	0 10 24 88 112 130 144 154 198 208 222 240 264 328 342 352	-695940583198
SPT(16)	2576675561230898297	0 30 60 86 92 120 156 162 164 170 206 234 240 266 296 326	-534833100750
SPT(16)	2576676126263247923	0 24 38 96 180 224 266 276 308 318 360 404 488 546 560 584	30199248876
SPT(16)	2576676394868377387	0 10 22 34 36 70 126 130 276 280 336 370 372 384 396 406	298804378340
SPT(20)	2576676496275564191	0 12 62 110 126 158 188 200 248 278 300 330 378 390 420 452 468 516 566 578	400211565144
SPT(16)	2576676874062176287	0 24 30 34 42 52 64 84 100 120 132 142 150 154 160 184	777998177240
SPT(16)	2576677054234838839	0 4 18 30 58 72 82 148 204 270 280 294 322 334 348 352	958170839792