Prime p₀= 3022891530896146199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	3022889230842991043	0 8 30 78 114 146 156 158 216 218 228 260 296 344 366 374	-2300053155156
SPT(13)	3022889262814121971	0 36 72 102 132 156 186 216 240 270 300 336 372	-2268082024228
SPT(16)	3022889326793086739	0 60 120 140 162 182 192 218 282 308 318 338 360 380 440 500	-2204103059460
SPT(16)	3022890705377668681	0 28 40 48 112 118 138 142 216 220 240 246 310 318 330 358	-825518477518
SPT(16)	3022890862050393869	0 8 104 108 122 132 182 194 318 330 380 390 404 408 504 512	-668845752330
STPT(10)	3022890957433218197	0 2 60 62 72 74 84 86 144 146	-573462928002
STPT(10)	3022891570443675107	0 2 60 62 102 104 144 146 204 206	39547528908
STPT(10)	3022891616647229651	0 2 36 38 78 80 120 122 156 158	85751083452
TPT(14)	3022891852616667077	0 2 60 62 72 74 252 254 294 296 300 302 312 314	321720520878
TPT(14)	3022891929820702241	0 2 30 32 66 68 96 98 150 152 168 170 210 212	398924556042
STPT(10)	3022892669585856959	0 2 12 14 90 92 168 170 180 182	1138689710760