Prime p₀= 2311825870678044569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2311824606241196567	0 6 26 54 86 134 170 180 290 300 336 384 416 444 464 470	-1264436848002
SPT(16)	2311824752756780609	0 20 24 32 38 54 104 108 134 138 188 204 210 218 222 242	-1117921263960
TPT(14)	2311824859325763701	0 2 6 8 78 80 150 152 168 170 210 212 216 218	-1011352280868
STPT(10)	2311824880660926737	0 2 12 14 42 44 72 74 84 86	-990017117832
STPT(10)	2311825739875473707	0 2 30 32 72 74 114 116 144 146	-130802570862
SPT(16)	2311825833376824889	0 4 22 34 60 82 90 160 174 244 252 274 300 312 330 334	-37301219680
STPT(10)	2311825934000368067	0 2 60 62 102 104 144 146 204 206	63322323498
SPT(16)	2311826188781343259	0 12 34 48 58 60 72 82 90 100 112 114 124 138 160 172	318103298690
SPT(16)	2311826432938531921	0 10 18 42 46 48 100 132 196 228 280 282 286 310 318 328	562260487352
SPT(16)	2311826825967234649	0 12 30 40 64 72 112 120 142 150 190 198 222 232 250 262	955289190080
SPT(16)	2311826912643220459	0 12 40 58 70 78 174 204 208 238 334 342 354 372 400 412	1041965175890