Prime p₀= 2012798688175729211 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2012797132081682521	0 28 46 60 70 102 120 136 222 238 256 288 298 312 330 358	-1556094046690
SPT(16)	2012797230058278427	0 114 130 190 256 294 346 364 396 414 466 504 570 630 646 760	-1458117450784
STPT(10)	2012797692941428829	0 2 42 44 60 62 78 80 120 122	-995234300382
SPT(13)	2012798061745386283	0 30 60 78 168 216 228 240 288 378 396 426 456	-626430342928
TPT(14)	2012798339341913939	0 2 30 32 48 50 102 104 138 140 210 212 228 230	-348833815272
STPT(10)	2012798587798634729	0 2 30 32 60 62 90 92 120 122	-100377094482
STPT(10)	2012798938914979739	0 2 18 20 30 32 42 44 60 62	250739250528
SPT(16)	2012799125716035841	0 30 52 88 100 126 132 150 178 196 202 228 240 276 298 328	437540306630
SPT(16)	2012799349468835849	0 38 42 74 98 110 140 150 152 162 192 204 228 260 264 302	661293106638
STPT(10)	2012799358118622209	0 2 12 14 90 92 168 170 180 182	669942892998
TPT(14)	2012799726548554817	0 2 12 14 30 32 54 56 102 104 150 152 222 224	1038372825606