Prime p₀= 2362555926774800849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Landjunge
db: batch=81, k=10, 2 76 2 40 2

SPT(16)	2362555544182401749	0 38 98 110 140 158 180 188 234 242 264 282 312 324 384 422	-382592399100
STPT(10)	2362555592727240257	0 2 12 14 42 44 72 74 84 86	-334047560592
STPT(10)	2362555624558158059	0 2 18 20 30 32 42 44 60 62	-302216642790
SPT(16)	2362555675842989023	0 24 48 106 150 244 250 330 334 414 420 514 558 616 640 664	-250931811826
TPT(14)	2362555729327996649	0 2 18 20 72 74 102 104 108 110 150 152 192 194	-197446804200
SPT(16)	2362555823888565341	0 2 12 18 56 60 86 116 192 222 248 252 290 296 306 308	-102886235508
SPT(16)	2362556034773709637	0 22 36 46 126 162 174 196 210 232 244 280 360 370 384 406	107998908788
SPT(16)	2362556252788822327	0 52 84 94 102 136 150 180 256 286 300 334 342 352 384 436	326014021478
SPT(16)	2362556301150093691	0 40 42 76 88 90 130 132 166 168 208 210 222 256 258 298	374375292842
SPT(16)	2362556364627887261	0 38 96 98 140 158 182 212 276 306 330 348 390 392 450 488	437853086412
SPT(16)	2362556470946255141	0 38 68 140 186 188 216 230 348 362 390 392 438 510 540 578	544171454292