Prime p₀= 800443827047092409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: scrap
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	800442439012589249	0 2 30 32 60 62 90 92 120 122	-1388034503160
STPT(10)	800442456701133677	0 2 30 32 72 74 114 116 144 146	-1370345958732
SPT(16)	800442622641206813	0 14 36 50 56 116 120 144 206 230 234 294 300 314 336 350	-1204405885596
SPT(16)	800442896157758041	0 16 28 30 60 118 126 130 156 160 168 226 256 258 270 286	-930889334368
TPT(14)	800443284700654451	0 2 48 50 96 98 126 128 150 152 180 182 306 308	-542346437958
STPT(10)	800443457983140029	0 2 42 44 60 62 78 80 120 122	-369063952380
STPT(10)	800444311098782759	0 2 48 50 90 92 132 134 180 182	484051690350
SPT(16)	800444482842673579	0 52 82 88 108 120 130 144 148 162 172 184 204 210 240 292	655795581170
SPT(16)	800444509931305807	0 22 36 46 64 66 84 112 144 172 190 192 210 220 234 256	682884213398
SPT(16)	800444554447626113	0 44 78 90 110 120 138 146 168 176 194 204 224 236 270 314	727400533704
STPT(10)	800444658675199607	0 2 24 26 42 44 60 62 84 86	831628107198