Prime p₀= 2676456519724959857 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: Asgard2022
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2676455785273232033	0 38 44 80 110 168 186 198 206 218 236 294 324 360 366 404	-734451727824
STPT(10)	2676455903195911349	0 2 42 44 60 62 78 80 120 122	-616529048508
STPT(10)	2676456095246637791	0 2 6 8 48 50 90 92 96 98	-424478322066
STPT(10)	2676456157624691327	0 2 54 56 72 74 90 92 144 146	-362100268530
SPT(16)	2676456220242601903	0 40 94 106 150 168 184 220 294 330 346 364 408 420 474 514	-299482357954
SPT(16)	2676456391740561919	0 34 88 100 118 142 172 262 300 390 420 444 462 474 528 562	-127984397938
STPT(10)	2676456715469058341	0 2 30 32 120 122 210 212 240 242	195744098484
STPT(10)	2676457298622174797	0 2 30 32 72 74 114 116 144 146	778897214940
SPT(18)	2676457577399585137	0 54 64 112 120 126 162 166 184 222 240 244 280 286 294 342 352 406	1057674625280
STPT(10)	2676457583866047809	0 2 42 44 60 62 78 80 120 122	1064141087952
STPT(10)	2676457649148625127	0 2 30 32 60 62 90 92 120 122	1129423665270