Prime p₀= 1369412823760403249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Odicin
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1369412273555007323	0 20 24 48 108 158 176 186 308 318 336 386 446 470 474 494	-550205395926
STPT(10)	1369412314731570281	0 2 96 98 168 170 240 242 336 338	-509028832968
SPT(16)	1369412432429104039	0 4 30 114 132 148 172 174 238 240 264 280 298 382 408 412	-391331299210
SPT(16)	1369412447598623983	0 24 66 84 148 174 198 244 360 406 430 456 520 538 580 604	-376161779266
STPT(10)	1369412774661806429	0 2 18 20 60 62 102 104 120 122	-49098596820
STPT(10)	1369412807780929799	0 2 18 20 30 32 42 44 60 62	-15979473450
SPT(16)	1369413021905800913	0 90 108 114 116 140 150 228 236 314 324 348 350 356 374 464	198145397664
STPT(10)	1369413884770777577	0 2 30 32 42 44 54 56 84 86	1061010374328
SPT(16)	1369413976820439023	0 14 36 38 66 80 126 134 180 188 234 248 276 278 300 314	1153060035774
SPT(16)	1369414155210252953	0 18 26 54 90 114 116 128 156 168 170 194 230 258 266 284	1331449849704
TPT(14)	1369414280637045899	0 2 18 20 90 92 102 104 198 200 258 260 312 314	1456876642650