Prime p₀= 3086368846716098789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=83, k=10, 2 16 2 10 2

SPT(16)	3086367648718253797	0 16 30 46 76 106 112 132 214 234 240 270 300 316 330 346	-1197997844992
TPT(14)	3086367813627530141	0 2 6 8 48 50 66 68 78 80 108 110 138 140	-1033088568648
SPT(16)	3086367892685221933	0 10 24 34 90 120 144 210 214 280 304 334 390 400 414 424	-954030876856
SPT(16)	3086368079206165913	0 8 56 66 78 150 158 180 206 228 236 308 320 330 378 386	-767509932876
SPT(16)	3086368167352690237	0 12 90 114 142 154 162 196 210 244 252 264 292 316 394 406	-679363408552
TPT(14)	3086368558782303929	0 2 30 32 78 80 138 140 168 170 180 182 210 212	-287933794860
SPT(16)	3086368913971694257	0 46 82 90 102 132 156 196 216 256 280 310 322 330 366 412	67255595468
STPT(10)	3086370151727983457	0 2 30 32 42 44 54 56 84 86	1305011884668
SPT(16)	3086370383230281911	0 8 18 26 60 92 98 128 210 240 246 278 312 320 330 338	1536514183122
STPT(10)	3086370723619113737	0 2 42 44 72 74 102 104 144 146	1876903014948
SPT(16)	3086370974863948637	0 6 12 120 140 224 246 266 270 290 312 396 416 524 530 536	2128147849848