Prime p₀= 1369414951486567397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1369414155210252953	0 18 26 54 90 114 116 128 156 168 170 194 230 258 266 284	-796276314444
TPT(14)	1369414280637045899	0 2 18 20 90 92 102 104 198 200 258 260 312 314	-670849521498
SPT(16)	1369414655365428293	0 18 44 68 86 110 116 140 144 168 174 198 216 240 266 284	-296121139104
TPT(14)	1369414719166364201	0 2 36 38 48 50 90 92 198 200 240 242 246 248	-232320203196
STPT(10)	1369414745259156119	0 2 18 20 30 32 42 44 60 62	-206227411278
SPT(16)	1369414820511449953	0 10 16 48 64 90 106 150 244 288 304 330 346 378 384 394	-130975117444
SPT(16)	1369415171600603947	0 4 30 46 102 106 154 210 256 312 360 364 420 436 462 466	220114036550
STPT(10)	1369415220929122091	0 2 6 8 48 50 90 92 96 98	269442554694
SPT(16)	1369415510316327961	0 36 58 60 78 120 186 240 298 352 418 460 478 480 502 538	558829760564
SPT(16)	1369415706104490059	0 12 14 32 38 44 54 74 78 98 108 114 120 138 140 152	754617922662
STPT(10)	1369416544788129977	0 2 12 14 42 44 72 74 84 86	1593301562580