Prime p₀= 1097641771666979657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1097641099256223337	0 30 54 72 76 84 96 142 144 190 202 210 214 232 256 286	-672410756320
STPT(10)	1097641135177151567	0 2 30 32 60 62 90 92 120 122	-636489828090
SPT(16)	1097641398383583451	0 16 48 60 66 100 126 198 238 310 336 370 376 388 420 436	-373283396206
SPT(16)	1097641425908929927	0 16 42 46 70 82 124 126 130 132 174 186 210 214 240 256	-345758049730
STPT(10)	1097641641109324931	0 2 6 8 48 50 90 92 96 98	-130557654726
SPT(16)	1097641726636565989	0 60 90 124 130 132 154 184 228 258 280 282 288 322 352 412	-45030413668
SPT(16)	1097642185721128667	0 86 90 96 140 152 204 222 254 272 324 336 380 386 390 476	414054149010
SPT(16)	1097642400537390013	0 28 34 48 78 106 124 138 196 210 228 256 286 300 306 334	628870410356
STPT(10)	1097642541856782137	0 2 60 62 72 74 84 86 144 146	770189802480
STPT(10)	1097642737904540279	0 2 12 14 90 92 168 170 180 182	966237560622
SPT(16)	1097642797003787383	0 10 46 48 84 88 114 126 268 280 306 310 346 348 384 394	1025336807726