Prime p₀= 2738035333751899001 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2738033671117488473	0 38 44 48 90 114 144 156 158 170 200 224 266 270 276 314	-1662634410528
SPT(16)	2738034005477707523	0 6 14 20 48 74 116 126 188 198 240 266 294 300 308 314	-1328274191478
STPT(10)	2738034531373902749	0 2 18 20 30 32 42 44 60 62	-802377996252
STPT(10)	2738034560196655199	0 2 18 20 30 32 42 44 60 62	-773555243802
STPT(12)	2738035131686094011	0 2 36 38 48 50 78 80 90 92 126 128	-202065804990
STPT(10)	2738035222590177281	0 2 30 32 78 80 126 128 156 158	-111161721720
STPT(10)	2738035352463246971	0 2 36 38 78 80 120 122 156 158	18711347970
STPT(10)	2738036495164906181	0 2 36 38 78 80 120 122 156 158	1161413007180
SPT(16)	2738036585324598581	0 8 56 60 72 86 108 116 132 140 162 176 188 192 240 248	1251572699580
TPT(14)	2738036590930578401	0 2 6 8 60 62 126 128 258 260 300 302 378 380	1257178679400
STPT(10)	2738036618642254607	0 2 30 32 42 44 54 56 84 86	1284890355606