Prime p₀= 2037692304439655621 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)	2037689217674884271	0 18 60 68 86 102 180 212 336 368 446 462 480 488 530 548	-3086764771350
STPT(10)	2037690192565434917	0 2 42 44 72 74 102 104 144 146	-2111874220704
SPT(16)	2037691401589689061	0 88 102 150 216 220 228 238 240 250 258 262 328 376 390 478	-902849966560
SPT(16)	2037691907716078651	0 10 22 30 42 66 70 88 90 108 112 136 148 156 168 178	-396723576970
TPT(14)	2037691977546657317	0 2 42 44 54 56 114 116 132 134 174 176 240 242	-326892998304
STPT(10)	2037692141639972117	0 2 24 26 42 44 60 62 84 86	-162799683504
SPT(16)	2037692336467701061	0 12 66 78 108 156 186 196 222 232 262 310 340 352 406 418	32028045440
SPT(16)	2037692513150819663	0 20 54 68 80 120 134 246 248 360 374 414 426 440 474 494	208711164042
STPT(10)	2037693406933654367	0 2 60 62 72 74 84 86 144 146	1102493998746
TPT(14)	2037693912147450617	0 2 12 14 30 32 54 56 60 62 240 242 282 284	1607707794996
SPT(16)	2037694017872407211	0 66 126 228 248 308 312 366 452 506 510 570 590 692 752 818	1713432751590