Prime p₀= 1049062857176657777 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1049061803606048857	0 4 60 102 106 120 126 132 184 190 196 210 214 256 312 316	-1053570608920
TPT(14)	1049062317703436651	0 2 30 32 60 62 66 68 96 98 168 170 180 182	-539473221126
SPT(16)	1049062355504666149	0 52 70 72 78 114 118 148 204 234 238 274 280 282 300 352	-501671991628
SPT(16)	1049062700825297911	0 46 90 126 156 190 210 228 268 286 306 340 370 406 450 496	-156351359866
SPT(18)	1049062719108194179	0 12 30 72 100 154 162 184 204 208 228 250 258 312 340 382 400 412	-138068463598
STPT(10)	1049062803774769541	0 2 6 8 18 20 30 32 36 38	-53401888236
SPT(16)	1049063080388341121	0 6 26 60 68 90 98 110 126 138 146 168 176 210 230 236	223211683344
STPT(10)	1049063217077806751	0 2 6 8 18 20 30 32 36 38	359901148974
SPT(16)	1049063250215273389	0 22 24 48 64 70 144 162 220 238 312 318 334 358 360 382	393038615612
SPT(16)	1049063425340392409	0 38 44 78 98 132 150 234 278 362 380 414 434 468 474 512	568163734632
STPT(10)	1049063670682100609	0 2 48 50 90 92 132 134 180 182	813505442832