Prime p₀= 2668587048010639541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2668585512146078927	0 2 84 86 120 122 132 134 150 152 162 164 174 176	-1535864560614
STPT(10)	2668585649327176721	0 2 6 8 18 20 30 32 36 38	-1398683462820
SPT(16)	2668586557577352751	0 6 10 36 42 52 70 76 126 132 150 160 166 192 196 202	-490433286790
SPT(16)	2668586779592338391	0 12 50 72 96 108 140 176 252 288 320 332 356 378 416 428	-268418301150
SPT(16)	2668586810742262181	0 30 32 56 80 146 162 182 276 296 312 378 402 426 428 458	-237268377360
STPT(12)	2668586961295380821	0 2 36 38 48 50 78 80 90 92 126 128	-86715258720
TPT(14)	2668587114815100251	0 2 78 80 216 218 276 278 318 320 420 422 456 458	66804460710
TPT(14)	2668587198099137141	0 2 66 68 78 80 138 140 156 158 246 248 288 290	150088497600
STPT(10)	2668587274409325077	0 2 12 14 42 44 72 74 84 86	226398685536
SPT(16)	2668587643764429157	0 16 30 46 60 82 84 94 102 112 114 136 150 166 180 196	595753789616
SPT(16)	2668587824974925459	0 12 20 60 90 102 114 132 152 170 182 194 224 264 272 284	776964285918