Prime p₀= 2451670754736022217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2451669938985832087	0 24 34 42 66 76 84 94 102 112 120 130 154 162 172 196	-815750190130
STPT(10)	2451670028255016377	0 2 30 32 42 44 54 56 84 86	-726481005840
STPT(10)	2451670032588568007	0 2 60 62 72 74 84 86 144 146	-722147454210
SPT(16)	2451670068864517717	0 6 16 40 72 90 124 126 130 132 166 184 216 240 250 256	-685871504500
SPT(16)	2451670520393104321	0 6 10 12 16 28 70 72 76 78 120 132 136 138 142 148	-234342917896
SPT(16)	2451670746892416029	0 30 44 102 168 170 180 182 210 212 222 224 290 348 362 392	-7843606188
STPT(10)	2451671320689186809	0 2 48 50 90 92 132 134 180 182	565953164592
STPT(10)	2451671542883813021	0 2 30 32 78 80 126 128 156 158	788147790804
STPT(10)	2451671626334372537	0 2 30 32 42 44 54 56 84 86	871598350320
SPT(16)	2451671646740031437	0 2 12 24 42 50 60 74 120 134 144 152 170 182 192 194	892004009220
SPT(16)	2451671676295592039	0 80 128 174 230 242 252 254 288 290 300 312 368 414 462 542	921559569822