Prime p₀= 2688079968391232939 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)	2688078114088989991	0 22 48 106 132 162 168 196 222 250 256 286 312 370 396 418	-1854302242948
SPT(16)	2688078174822268667	0 6 66 96 126 152 162 174 182 194 204 230 260 290 350 356	-1793568964272
SPT(16)	2688078606140075851	0 10 30 96 126 148 162 192 196 226 240 262 292 358 378 388	-1362251157088
TPT(14)	2688079260739753787	0 2 12 14 30 32 60 62 90 92 102 104 174 176	-707651479152
SPT(16)	2688079400520737851	0 18 52 60 66 108 166 192 196 222 280 322 328 336 370 388	-567870495088
SPT(16)	2688079409692357481	0 12 26 38 92 128 182 210 218 246 300 336 390 402 416 428	-558698875458
SPT(16)	2688080322993624287	0 72 84 86 102 114 122 134 192 204 212 224 240 242 254 326	354602391348
STPT(10)	2688081208583486897	0 2 24 26 42 44 60 62 84 86	1240192253958
TPT(14)	2688081257219436851	0 2 36 38 48 50 66 68 78 80 90 92 120 122	1288828203912
SPT(16)	2688081607228879711	0 70 72 78 136 148 168 178 300 310 330 342 400 406 408 478	1638837646772
STPT(10)	2688081622447378511	0 2 6 8 48 50 90 92 96 98	1654056145572