Prime p₀= 2023289350779736997 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: JZD
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2023287731500124207	0 2 30 32 42 44 54 56 84 86	-1619279612790
STPT(10)	2023287775988579039	0 2 30 32 60 62 90 92 120 122	-1574791157958
SPT(16)	2023287776976098491	0 42 52 66 82 108 160 166 222 228 280 306 322 336 346 388	-1573803638506
SPT(16)	2023287923234140609	0 12 54 60 72 102 112 120 124 132 142 172 184 190 232 244	-1427545596388
TPT(14)	2023289092093231271	0 2 36 38 126 128 168 170 210 212 288 290 390 392	-258686505726
SPT(16)	2023289132484514361	0 12 36 78 102 110 150 152 216 218 258 266 290 332 356 368	-218295222636
SPT(16)	2023289628805636397	0 12 20 72 140 152 182 216 230 264 294 306 374 426 434 446	278025899400
STPT(10)	2023289664826492871	0 2 6 8 48 50 90 92 96 98	314046755874
TPT(14)	2023289721233913959	0 2 12 14 78 80 168 170 192 194 318 320 402 404	370454176962
SPT(16)	2023289762424383377	0 40 52 64 112 124 150 162 172 184 210 222 270 282 294 334	411644646380
SPT(16)	2023290116101321637	0 6 12 26 36 56 62 72 104 114 120 140 150 164 170 176	765321584640