Prime p₀= 2128597153752202949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

STPT(12)	2128596221462245721	0 2 18 20 60 62 138 140 180 182 198 200	-932289957228
SPT(16)	2128596324464710367	0 14 42 50 54 86 102 114 122 134 150 182 186 194 222 236	-829287492582
SPT(16)	2128596335730659351	0 18 30 32 56 116 120 140 198 218 222 282 306 308 320 338	-818021543598
STPT(10)	2128596691848450287	0 2 90 92 102 104 114 116 204 206	-461903752662
SPT(16)	2128597049082476179	0 22 34 54 60 64 88 100 102 114 138 142 148 168 180 202	-104669726770
STPT(10)	2128597151259111737	0 2 12 14 42 44 72 74 84 86	-2493091212
SPT(16)	2128597419067716847	0 4 6 24 40 46 84 90 130 136 174 180 196 214 216 220	265315513898
STPT(10)	2128597562010176207	0 2 30 32 42 44 54 56 84 86	408257973258
STPT(10)	2128597631939232197	0 2 42 44 72 74 102 104 144 146	478187029248
STPT(10)	2128597826537539451	0 2 6 8 48 50 90 92 96 98	672785336502
SPT(16)	2128597873658315947	0 6 30 60 66 70 72 90 112 130 132 136 142 172 196 202	719906112998