Prime p₀= 2575789384204678637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2575788247666613341	0 22 46 66 88 108 130 136 222 228 250 270 292 312 336 358	-1136538065296
STPT(10)	2575788584515245497	0 2 30 32 72 74 114 116 144 146	-799689433140
SPT(16)	2575788931698581933	0 20 24 90 98 138 164 168 206 210 236 276 284 350 354 374	-452506096704
SPT(16)	2575788942573987587	0 6 80 110 116 144 150 186 194 230 236 264 270 300 374 380	-441630691050
SPT(16)	2575789098580822583	0 8 44 56 90 114 116 156 158 198 200 224 258 270 306 314	-285623856054
SPT(16)	2575789205023427669	0 8 90 104 150 162 182 234 248 300 320 332 378 392 474 482	-179181250968
STPT(10)	2575789598534724149	0 2 48 50 90 92 132 134 180 182	214330045512
SPT(16)	2575790065709936527	0 102 106 114 154 162 166 180 316 330 334 342 382 390 394 496	681505257890
SPT(16)	2575790879558668507	0 60 66 120 130 136 154 180 196 222 240 246 256 310 316 376	1495353989870
STPT(10)	2575791294342848807	0 2 30 32 42 44 54 56 84 86	1910138170170
SPT(16)	2575791301900867117	0 4 12 90 96 132 162 174 202 214 244 280 286 364 372 376	1917696188480