Prime p₀= 2886017517378718319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2886016261665447133	0 10 16 46 126 156 166 168 196 198 208 238 318 348 354 364	-1255713271186
SPT(16)	2886016312486322201	0 8 42 60 92 98 140 162 176 198 240 246 278 296 330 338	-1204892396118
SPT(16)	2886016648241737943	0 6 14 48 60 66 74 170 204 300 308 314 326 360 368 374	-869136980376
STPT(10)	2886016651686102917	0 2 54 56 132 134 210 212 264 266	-865692615402
STPT(10)	2886017031104110919	0 2 78 80 120 122 162 164 240 242	-486274607400
SPT(16)	2886017480653459193	0 18 38 60 116 140 144 156 158 170 174 198 254 276 296 314	-36725259126
STPT(10)	2886017587345365167	0 2 60 62 102 104 144 146 204 206	69966646848
SPT(16)	2886017636385891577	0 16 22 34 42 82 142 150 166 174 234 274 282 294 300 316	119007173258
TPT(14)	2886017997191827829	0 2 42 44 78 80 132 134 240 242 288 290 300 302	479813109510
STPT(12)	2886018677910692477	0 2 24 26 114 116 150 152 240 242 264 266	1160531974158
TPT(14)	2886019188962441471	0 2 30 32 90 92 168 170 186 188 198 200 210 212	1671583723152