Prime p₀= 2696937907124878559 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)	2696936432771659951	0 6 28 46 66 70 96 120 136 160 186 190 210 228 250 256	-1474353218608
STPT(10)	2696936600652747701	0 2 78 80 108 110 138 140 216 218	-1306472130858
SPT(16)	2696936700675270841	0 28 46 106 126 196 208 238 240 270 282 352 372 432 450 478	-1206449607718
SPT(16)	2696937000116008667	0 12 14 42 110 150 174 176 180 182 206 246 314 342 344 356	-907008869892
SPT(16)	2696937569000198609	0 24 68 138 150 158 164 222 290 348 354 362 374 444 488 512	-338124679950
SPT(16)	2696937754027848449	0 44 60 62 114 138 164 182 240 258 284 308 360 362 378 422	-153097030110
SPT(16)	2696938191585994639	0 12 64 154 162 174 180 184 258 262 268 280 288 378 430 442	284461116080
STPT(10)	2696938226986105769	0 2 42 44 60 62 78 80 120 122	319861227210
SPT(16)	2696938283743769587	0 22 34 36 42 82 142 190 216 264 324 364 370 372 384 406	376618891028
STPT(10)	2696938389656440997	0 2 12 14 42 44 72 74 84 86	482531562438
TPT(14)	2696938517451300077	0 2 72 74 114 116 132 134 174 176 300 302 354 356	610326421518