Prime p₀= 968405650528579997 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: sorcrosc
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	968404353311376083	0 6 14 26 50 84 86 104 126 144 146 180 204 216 224 230	-1297217203914
SPT(16)	968404432622485247	0 42 50 54 90 132 146 204 272 330 344 386 422 426 434 476	-1217906094750
SPT(16)	968404737149322917	0 2 26 36 86 114 120 182 204 266 272 300 350 360 384 386	-913379257080
STPT(10)	968404797831135827	0 2 30 32 42 44 54 56 84 86	-852697444170
TPT(14)	968405483513411819	0 2 12 14 42 44 72 74 78 80 108 110 120 122	-167015168178
SPT(16)	968405510617090841	0 42 86 96 102 110 116 138 140 162 168 176 182 192 236 278	-139911489156
STPT(10)	968405658194442437	0 2 30 32 72 74 114 116 144 146	7665862440
STPT(10)	968405815492172969	0 2 18 20 30 32 42 44 60 62	164963592972
SPT(16)	968406006123423817	0 42 70 120 144 192 234 256 270 292 334 382 406 456 484 526	355594843820
STPT(10)	968406295441021601	0 2 90 92 108 110 126 128 216 218	644912441604
SPT(16)	968406399432467911	0 90 100 112 136 156 160 166 186 192 196 216 240 252 262 352	748903887914