Prime p₀= 1097057849112342251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1097056294415647823	0 26 36 50 54 78 110 126 158 174 206 230 234 248 258 284	-1554696694428
TPT(14)	1097056329802121201	0 2 36 38 60 62 186 188 270 272 300 302 336 338	-1519310221050
TPT(14)	1097056396230064691	0 2 36 38 78 80 108 110 150 152 168 170 306 308	-1452882277560
STPT(10)	1097056516157046617	0 2 12 14 72 74 132 134 144 146	-1332955295634
STPT(10)	1097056904600184569	0 2 18 20 30 32 42 44 60 62	-944512157682
STPT(10)	1097057844488833217	0 2 12 14 42 44 72 74 84 86	-4623509034
SPT(16)	1097057854126528751	0 8 20 42 62 90 132 140 150 158 200 228 248 270 282 290	5014186500
SPT(16)	1097058035258425501	0 28 30 52 70 108 132 148 162 178 202 240 258 280 282 310	186146083250
SPT(16)	1097058113275353961	0 36 142 156 166 172 228 240 298 310 366 372 382 396 502 538	264163011710
STPT(10)	1097058171316878299	0 2 42 44 90 92 138 140 180 182	322204536048
STPT(10)	1097058586154469437	0 2 30 32 72 74 114 116 144 146	737042127186