Prime p₀= 2582130802069568777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2582129476632318581	0 26 62 72 146 168 170 218 300 348 350 372 446 456 492 518	-1325437250196
SPT(16)	2582129667472630871	0 12 38 68 78 128 138 140 180 182 192 242 252 282 308 320	-1134596937906
SPT(16)	2582130192080635957	0 4 90 102 154 166 222 276 400 454 510 522 574 586 672 676	-609988932820
SPT(16)	2582130389836049879	0 24 110 138 222 248 254 260 282 288 294 320 404 432 518 542	-412233518898
SPT(16)	2582130405203147867	0 102 116 120 132 134 204 210 236 242 312 314 326 330 344 446	-396866420910
SPT(16)	2582130529257213871	0 16 18 30 46 58 60 96 172 208 210 222 238 250 252 268	-272812354906
SPT(16)	2582131010308058527	0 24 30 54 66 112 132 154 162 184 204 250 262 286 292 316	208238489750
TPT(14)	2582131027272122321	0 2 6 8 78 80 186 188 210 212 270 272 396 398	225202553544
STPT(10)	2582131293512197127	0 2 30 32 42 44 54 56 84 86	491442628350
STPT(10)	2582131300925909657	0 2 12 14 42 44 72 74 84 86	498856340880
TPT(14)	2582131412805641129	0 2 12 14 198 200 240 242 270 272 318 320 378 380	610736072352