Prime p₀= 2577487473269048297 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2577486342567106879	0 12 18 88 102 108 150 154 168 172 214 220 234 304 310 322	-1130701941418
STPT(12)	2577486384256256657	0 2 42 44 60 62 114 116 132 134 174 176	-1089012791640
STPT(10)	2577486445461019031	0 2 36 38 78 80 120 122 156 158	-1027808029266
TPT(14)	2577486676750700591	0 2 6 8 30 32 120 122 186 188 216 218 240 242	-796518347706
SPT(16)	2577486692151815033	0 6 20 36 44 78 80 104 150 174 176 210 218 234 248 254	-781117233264
TPT(14)	2577487197396954299	0 2 72 74 78 80 210 212 240 242 408 410 420 422	-275872093998
TPT(14)	2577487618597684547	0 2 30 32 42 44 54 56 84 86 102 104 150 152	145328636250
STPT(10)	2577487618597684547	0 2 30 32 42 44 54 56 84 86	145328636250
STPT(10)	2577487783004974949	0 2 48 50 90 92 132 134 180 182	309735926652
SPT(16)	2577487794644575333	0 28 54 58 78 108 138 178 210 250 280 310 330 334 360 388	321375527036
SPT(16)	2577487924289773991	0 2 68 126 132 140 152 170 198 216 228 236 242 300 366 368	451020725694