Prime p₀= 2256150087361908839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2256148535816871233	0 6 14 66 74 90 114 140 174 200 224 240 248 300 308 314	-1551545037606
SPT(16)	2256148603452794833	0 18 24 96 144 178 228 256 258 286 336 370 418 490 496 514	-1483909114006
SPT(16)	2256148870210154177	0 26 60 74 84 104 140 150 266 276 312 332 342 356 390 416	-1217151754662
SPT(18)	2256149109696834263	0 18 36 120 134 216 224 266 300 344 378 420 428 510 524 608 626 644	-977665074576
SPT(16)	2256149798032992973	0 46 60 96 130 138 144 174 220 250 256 264 298 334 348 394	-289328915866
STPT(10)	2256149957002135937	0 2 12 14 42 44 72 74 84 86	-130359772902
SPT(16)	2256150794867123443	0 90 106 144 154 156 198 238 246 286 328 330 340 378 394 484	707505214604
SPT(16)	2256150907140505993	0 18 30 34 36 60 88 150 154 216 244 268 270 274 286 304	819778597154
SPT(16)	2256150977560971427	0 46 54 114 132 184 210 216 250 256 282 334 352 412 420 466	890199062588
STPT(10)	2256151507348188419	0 2 12 14 30 32 48 50 60 62	1419986279580
SPT(16)	2256151556199740761	0 6 16 18 48 52 60 70 108 118 126 130 160 162 172 178	1468837831922