Prime p₀= 2531827806646509191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2531826661855000351	0 10 28 52 70 76 102 108 130 136 162 168 186 210 228 238	-1144791508840
SPT(16)	2531826909114247051	0 10 28 40 66 88 90 108 160 178 180 202 228 240 258 268	-897532262140
SPT(16)	2531826954411226391	0 12 20 66 86 110 156 188 240 272 318 342 362 408 416 428	-852235282800
STPT(10)	2531827120431515087	0 2 24 26 42 44 60 62 84 86	-686214994104
SPT(16)	2531827286186231741	0 26 32 60 80 92 96 122 180 206 210 222 242 270 276 302	-520460277450
SPT(16)	2531827300937898479	0 24 38 54 90 110 120 164 234 278 288 308 344 360 374 398	-505708610712
SPT(16)	2531828279566635671	0 12 26 30 96 102 140 152 156 168 206 212 278 282 296 308	472920126480
SPT(16)	2531828491901008789	0 4 30 34 58 60 88 100 102 114 142 144 168 172 198 202	685254499598
SPT(16)	2531828612388835933	0 6 18 88 174 180 208 228 316 336 364 370 456 526 538 544	805742326742
TPT(14)	2531828615447110907	0 2 180 182 222 224 264 266 270 272 312 314 342 344	808800601716
STPT(10)	2531828935180278779	0 2 48 50 90 92 132 134 180 182	1128533769588