Prime p₀= 1097059225448901287 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=76, k=10, 2 22 2 16 2

SPT(16)	1097057854126528751	0 8 20 42 62 90 132 140 150 158 200 228 248 270 282 290	-1371322372536
SPT(16)	1097058035258425501	0 28 30 52 70 108 132 148 162 178 202 240 258 280 282 310	-1190190475786
SPT(16)	1097058113275353961	0 36 142 156 166 172 228 240 298 310 366 372 382 396 502 538	-1112173547326
STPT(10)	1097058171316878299	0 2 42 44 90 92 138 140 180 182	-1054132022988
STPT(10)	1097058586154469437	0 2 30 32 72 74 114 116 144 146	-639294431850
SPT(16)	1097058662296857983	0 38 48 56 66 78 90 104 150 164 176 188 198 206 216 254	-563152043304
STPT(10)	1097059332250300607	0 2 24 26 42 44 60 62 84 86	106801399320
STPT(10)	1097059402831667747	0 2 42 44 132 134 222 224 264 266	177382766460
STPT(10)	1097059476965922929	0 2 18 20 30 32 42 44 60 62	251517021642
SPT(16)	1097059757074474153	0 10 28 30 36 58 60 88 126 154 156 178 184 186 204 214	531625572866
STPT(10)	1097059870068704909	0 2 48 50 90 92 132 134 180 182	644619803622