Prime p₀= 800342092395230681 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: amazing
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	800340895814777417	0 2 42 44 72 74 102 104 144 146	-1196580453264
SPT(16)	800341457688857473	0 34 48 76 120 138 166 180 184 198 226 244 288 316 330 364	-634706373208
STPT(10)	800341567817392397	0 2 24 26 42 44 60 62 84 86	-524577838284
STPT(10)	800341670907886139	0 2 48 50 90 92 132 134 180 182	-421487344542
SPT(16)	800342039320674359	0 12 14 68 80 110 144 150 152 158 192 222 234 288 290 302	-53074556322
STPT(10)	800342074619030861	0 2 30 32 78 80 126 128 156 158	-17776199820
TPT(14)	800342502249554819	0 2 60 62 90 92 102 104 240 242 258 260 282 284	409854324138
SPT(16)	800342535260717437	0 4 6 10 22 24 60 70 126 136 172 174 186 190 192 196	442865486756
STPT(10)	800343266018948591	0 2 30 32 60 62 90 92 120 122	1173623717910
TPT(14)	800343295991411297	0 2 30 32 54 56 72 74 114 116 144 146 180 182	1203596180616
SPT(16)	800343651763908209	0 42 48 68 138 158 182 188 192 198 222 242 312 332 338 380	1559368677528