Prime p₀= 2156746818630213767 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2156745376186150229	0 12 18 30 32 42 78 90 140 152 188 198 200 212 218 230	-1442444063538
SPT(16)	2156745427938359563	0 30 54 78 130 144 184 196 198 210 250 264 316 340 364 394	-1390691854204
SPT(16)	2156745674977953223	0 28 84 120 126 154 160 196 198 234 240 268 274 310 366 394	-1143652260544
STPT(10)	2156745782385074339	0 2 18 20 30 32 42 44 60 62	-1036245139428
SPT(16)	2156746020326986723	0 18 24 60 76 78 94 108 316 330 346 348 364 400 406 424	-798303227044
STPT(10)	2156746443503457269	0 2 48 50 60 62 72 74 120 122	-375126756498
TPT(14)	2156746983969250949	0 2 12 14 78 80 90 92 132 134 150 152 168 170	165339037182
SPT(16)	2156747054326701673	0 16 30 40 78 84 96 100 144 148 160 166 204 214 228 244	235696487906
SPT(16)	2156747138240586907	0 4 16 54 70 94 114 136 144 166 186 210 226 264 276 280	319610373140
SPT(18)	2156747382742327913	0 20 84 96 150 174 186 206 224 240 258 278 290 314 368 380 444 464	564112114146
TPT(14)	2156747830096309577	0 2 12 14 72 74 114 116 150 152 210 212 360 362	1011466095810