Prime p₀= 2338717506035721617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2338715228521270021	0 12 16 22 76 190 192 196 246 250 252 366 420 426 430 442	-2277514451596
SPT(16)	2338715392221544103	0 14 60 80 98 104 110 138 146 174 180 186 204 224 270 284	-2113814177514
STPT(10)	2338715701578399707	0 2 90 92 132 134 174 176 264 266	-1804457321910
STPT(10)	2338716335955423239	0 2 12 14 30 32 48 50 60 62	-1170080298378
STPT(12)	2338716834012654629	0 2 42 44 48 50 72 74 78 80 120 122	-672023066988
TPT(14)	2338717072076811311	0 2 18 20 30 32 96 98 138 140 186 188 210 212	-433958910306
STPT(10)	2338717530638989601	0 2 6 8 48 50 90 92 96 98	24603267984
SPT(16)	2338717871877834757	0 4 22 24 30 72 90 100 204 214 232 274 280 282 300 304	365842113140
STPT(10)	2338718098521886259	0 2 12 14 90 92 168 170 180 182	592486164642
SPT(16)	2338718334047050619	0 2 42 68 108 132 140 152 210 222 230 254 294 320 360 362	828011329002
SPT(16)	2338718373116594383	0 48 54 84 88 90 148 154 180 186 244 246 250 280 286 334	867080872766