Prime p₀= 2161570940624179751 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2161569240593564027	0 6 20 44 56 66 74 92 114 132 140 150 162 186 200 206	-1700030615724
STPT(10)	2161569650031811289	0 2 48 50 90 92 132 134 180 182	-1290592368462
STPT(10)	2161569717987429689	0 2 42 44 60 62 78 80 120 122	-1222636750062
TPT(16)	2161570673108483627	0 2 12 14 42 44 72 74 102 104 174 176 222 224 240 242	-267515696124
TPT(14)	2161570744451909801	0 2 48 50 96 98 108 110 180 182 216 218 288 290	-196172269950
STPT(10)	2161570831694803559	0 2 18 20 30 32 42 44 60 62	-108929376192
SPT(16)	2161570990345437977	0 12 56 60 80 102 146 164 252 270 314 336 356 360 404 416	49721258226
STPT(10)	2161571437625881157	0 2 30 32 60 62 90 92 120 122	497001701406
STPT(10)	2161571821976248007	0 2 30 32 42 44 54 56 84 86	881352068256
SPT(16)	2161571977310594327	0 20 66 90 146 150 156 230 300 374 380 384 440 464 510 530	1036686414576
SPT(16)	2161572334344787627	0 4 6 30 40 42 82 102 154 174 214 216 226 250 252 256	1393720607876