Prime p₀= 1028171082138088697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: stoneageman
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1028170060799573609	0 42 80 92 110 114 140 164 240 264 290 294 312 324 362 404	-1021338515088
SPT(16)	1028170509755567693	0 8 54 60 86 116 120 146 168 194 198 228 254 260 306 314	-572382521004
STPT(10)	1028170861162049159	0 2 42 44 60 62 78 80 120 122	-220976039538
STPT(10)	1028170979543047139	0 2 48 50 60 62 72 74 120 122	-102595041558
SPT(16)	1028171033824833967	0 22 24 52 70 94 120 124 132 136 162 186 204 232 234 256	-48313254730
STPT(10)	1028171051858442617	0 2 30 32 72 74 114 116 144 146	-30279646080
SPT(16)	1028171288568238069	0 58 94 160 178 184 198 220 258 280 294 300 318 384 420 478	206430149372
SPT(16)	1028171458019000011	0 10 12 16 28 30 40 78 100 138 148 150 162 166 168 178	375880911314
STPT(10)	1028171518775960129	0 2 18 20 30 32 42 44 60 62	436637871432
STPT(10)	1028171911564159259	0 2 18 20 30 32 42 44 60 62	829426070562
STPT(10)	1028172065725836137	0 2 30 32 42 44 54 56 84 86	983587747440