Prime p₀= 2886016651686102917 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Landjunge
db: batch=82, k=10, 2 52 2 76 2

SPT(16)	2886014935251159013	0 30 46 100 106 124 126 150 184 208 210 228 234 288 304 334	-1716434943904
STPT(10)	2886014962848268577	0 2 42 44 72 74 102 104 144 146	-1688837834340
SPT(16)	2886015347876955911	0 2 30 56 68 86 116 122 156 162 192 210 222 248 276 278	-1303809147006
SPT(16)	2886016261665447133	0 10 16 46 126 156 166 168 196 198 208 238 318 348 354 364	-390020655784
SPT(16)	2886016312486322201	0 8 42 60 92 98 140 162 176 198 240 246 278 296 330 338	-339199780716
SPT(16)	2886016648241737943	0 6 14 48 60 66 74 170 204 300 308 314 326 360 368 374	-3444364974
STPT(10)	2886017031104110919	0 2 78 80 120 122 162 164 240 242	379418008002
SPT(16)	2886017480653459193	0 18 38 60 116 140 144 156 158 170 174 198 254 276 296 314	828967356276
STPT(10)	2886017517378718319	0 2 18 20 60 62 102 104 120 122	865692615402
STPT(10)	2886017587345365167	0 2 60 62 102 104 144 146 204 206	935659262250
SPT(16)	2886017636385891577	0 16 22 34 42 82 142 150 166 174 234 274 282 294 300 316	984699788660