Prime p₀= 2029408953012217157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 52 2 76 2

SPT(16)	2029408103924517091	0 28 40 42 88 112 130 132 136 138 156 180 226 228 240 268	-849087700066
STPT(12)	2029408174919421137	0 2 30 32 72 74 90 92 132 134 162 164	-778092796020
SPT(16)	2029408497226689209	0 42 68 74 138 140 152 158 204 210 222 224 288 294 320 362	-455785527948
STPT(10)	2029408642699449839	0 2 18 20 60 62 102 104 120 122	-310312767318
STPT(10)	2029408714389452519	0 2 12 14 30 32 48 50 60 62	-238622764638
STPT(10)	2029408806200579759	0 2 48 50 90 92 132 134 180 182	-146811637398
SPT(22)	2029409083368733657	0 112 142 162 174 184 196 276 310 360 364 492 496 546 580 660 672 682 694 714 744 856	130356516500
SPT(16)	2029409101216758197	0 2 6 14 44 74 110 114 182 186 222 252 282 290 294 296	148204541040
STPT(10)	2029409980785279941	0 2 36 38 78 80 120 122 156 158	1027773062784
SPT(16)	2029410584241645823	0 40 54 64 100 138 144 148 186 190 196 234 270 280 294 334	1631229428666
STPT(10)	2029410604713540779	0 2 78 80 150 152 222 224 300 302	1651701323622